The Math Reviews links will work only
if you have a subscription to MathSciNet.
1 95k:14070 J. Migliore. "An
Introduction to Deficiency Modules and Liaison Theory for Subschemes
of Projective Space." Monograph, 146 + v pages. Volume 24 of Lecture Notes Series, Global Analysis
Research Center, Seoul National University, 1994.
2 2000g:14058 J. Migliore.
``Introduction to Liaison Theory and Deficiency Modules.'' Birkhäuser,
Progress in Mathematics 165, 1998; 224 pp. Hardcover, ISBN 0-8176-4027-4.
3 MR2389249 A. Corso,
J. Migliore and C. Polini (editors), ``Algebra,
Geometry and their Interactions,'' Contemporary Math. vol. 448 (2007), ISBN-10:
0-8218-4094-0, ISBN-13: 978-0-8218-4094-8.
1 87g:14031 J. Migliore. Geometric
Invariants for Liaison of Space Curves. J.
Algebra 99:548-72, 1986.
2 87i:14028 J. Migliore. On Linking
Double Lines. Trans. Amer. Math. Soc. 294:177-85, 1986.
3 89a:14067 J. Migliore. Buchsbaum Curves in P3. Proceedings of
the Conference on Algebraic Geometry, East Berlin (1985), Teubner-Texte
zur Mathematik, 1986.
4 88g:14030 J. Migliore. Examples
in Liaison. The Curves Seminar at Queen's,
vol. IV, Queen's Papers in Pure and Applied
Mathematics, 1986.
5 88j:14041 J. Migliore. Liaison of
a Union of Skew Lines in P3. Pacific J. of Math. 130:153-70, 1987.
6 88i:14027 G. Bolondi
and J. Migliore. Classification of Maximal Rank Curves in the Liaison Class Ln.
Math. Ann. 277:585-603, 1987.
7 90d:14053 A.V. Geramita and J. Migliore. On the Ideal of an Arithmetically
Buchsbaum Curve. J.
Pure Appl. Algebra 54:215-47, 1988.
8 90g:14017 G. Bolondi
and J. Migliore. Buchsbaum Liaison Classes. J. Algebra 123:426-56, 1989.
9 90f:14017 A.V. Geramita and J. Migliore. Generators for the Ideal of an
Arithmetically Buchsbaum Curve. J. Pure Appl. Algebra 58:147-67, 1989.
10 90b:14060 G. Bolondi
and J. Migliore. The Structure of an Even Liaison Class. Trans. Amer. Math. Soc. 316:1-37, 1989.
11 90k:14027 A.V. Geramita and J. Migliore. Hyperplane
Sections of a Smooth Curve in P3. Comm. Algebra 17:3129-64, 1989.
12 90i:14053 G. Bolondi
and J. Migliore. Configurations of Linear Projective Subvarieties.
In “Algebraic Curves and Projective Geometry, Proceedings (Trento, 1988),”
Lecture Notes in Mathematics, vol. 1389, Springer-Verlag
(1989), 19-31.
13 91e:14046 G. Bolondi
and J. Migliore. The Lazarsfeld-Rao Problem for Buchsbaum Curves. Rend.
Sem. Mat. Univ. Padova 82:67-97, 1989.
14 91d:14033 J. Migliore. Even
Liaison. The Curves Seminar at Queen's,
vol. VI, Queen's Papers in Pure and Applied
Mathematics, 1989.
15 91i:14025 J. Migliore and R. Miró-Roig. On k-Buchsbaum Curves in P3. Comm. Algebra 18(8):2403-22, 1990.
16 91h:14034 E. Ballico
and J. Migliore. Smooth Curves Whose Hyperplane
Section is a given set of points. Comm. in
Algebra 18(9):3015-40, 1990.
17 92c:14047 E. Ballico,
G. Bolondi, and J. Migliore. The Lazarsfeld-Rao
problem for liaison classes of two-codimensional subschemes of Pn.
Amer. J. of Math., 113:117-128, 1991.
18 94a:13008 G. Bolondi
and J. Migliore. The Lazarsfeld-Rao property on an
arithmetically Gorenstein variety. Manuscripta Math., 78(Fasc. 4):347-368, 1993.
19 94h:14032 G. Bolondi
and J. Migliore. On curves with natural cohomology
and their deficiency modules. Annales de l'Institut Fourier, 43(no. 2):325-357, 1993.
20 94i:14051 J. Migliore. Submodules of the deficiency module. J. London Math. Soc., 48(no. 3):396-414,
1993.
21 94m:14066 A.V. Geramita and J. Migliore. A generalized liaison addition. J. Algebra, 163:139-164, 1994.
22 96d:14051 J. Migliore. Two
lectures in the curves seminar at Queen's. In The Curves Seminar Proceedings: 1992-1993, volume IX of Queen's Papers in Pure and Applied Mathematics.
1994.
23 95i:14043 J. Migliore. Hypersurface sections of curves. In Proceedings of the International Conference on
Zero-Dimensional Schemes, Ravello 1992,
pages 269-282. De Gruyter, 1994.
24 95e:14040 A. Bigatti,
A.V. Geramita, and J. Migliore. Geometric
consequences of extremal behavior in a theorem of
Macaulay. Trans. Amer. Math. Soc. 346:203-235, 1994.
25 96d:14045 J. Migliore and U.
Nagel. On the Cohen-Macaulay type of the general hypersurface
section of a curve. Math. Zeit. 219:245-273, 1995.
26 98a:14044 J. Migliore, C.
Peterson, and Y. Pitteloud. Ropes in projective
space. J. Math. Kyoto Univ. 36:251-278, 1996.
27 97h:14068 A.V. Geramita and J. Migliore. Reduced Gorenstein
Codimension Three Subschemes
of Projective Space. Proc. Amer. Math. Soc.
125:943-950,1997 .
28 98d:14060 J. Migliore and C.
Peterson. A construction of codimension three
arithmetically Gorenstein subschemes
of projective space. Trans. Amer. Math.
Soc. 349:3803-3821,1997.
29 99k:14080 H. Martin and J.
Migliore. Submodules of the deficiency modules and an
extension of Dubreil's Theorem. J. London. Math. Soc. 56(no. 3):463-476,
1997.
30 99b:14051 H. Martin, J. Migliore
and S. Nollet. Degrees of generators of ideals
defining subschemes of projective space. Comm. Algebra 26(no. 4):1209-1231, 1998.
31 2000m:13018 J. Migliore. Gorenstein liaison via divisors. In: Proceedings of the
Workshop on "Free Resolution of Defining Ideals of Projective
Varieties" held at the Research Institute for Mathematical Sciences, Kyoto
University, Kyoto, July 1998. Surikaisekikenkyusho Kokyuroku (1999). PDF
32 2000f:14076 J. Migliore, U. Nagel
and C. Peterson. Buchsbaum-Rim sheaves and their
Multiple Sections. J. Algebra
219:378-420, 1999.
33 2001f:14092 M. Kreuzer, J. Migliore, U. Nagel and C. Peterson. Determinantal Schemes and Buchsbaum-Rim
Sheaves. J. Pure Appl. Algebra
150:155-174, 2000.
34 2001g:13028 J. Migliore, U. Nagel
and C. Peterson. Constructing schemes with prescribed cohomology
in arbitrary codimension. J. Pure Appl. Algebra, 152:245-251, 2000, special issue in
honor of David Buchsbaum.
35 2002d:13027 J. Migliore and U.
Nagel. Lifting Monomial Ideals. Comm.
Algebra 28:5679-5701, 2000, special issue in honor of Robin
Hartshorne.
36 2003b:13020 S. Diaz, A.V. Geramita and J. Migliore. Resolutions of Subsets of Finite
Sets of Points in Projective Space. Comm.
Algebra 28:5715-5733, 2000, special issue in honor of Robin Hartshorne.
37 2002e:13030 J. Migliore, U. Nagel
and C. Peterson. Bezout's theorem and Cohen-Macaulay
modules. Math. Zeit.
237:373-394, 2001.
38 2002e:14083 J. Kleppe, J. Migliore, R.M. Miró-Roig,
U. Nagel and C. Peterson. Gorenstein Liaison,
Complete Intersection Liaison Invariants and Unobstructedness.
Memoirs of the Amer. Math. Soc. Vol. 154, 2001; 116 pp. Softcover,
ISBN 0-8218-2738-3.
39 2003g:13020 J. Migliore and U.
Nagel. Reduced arithmetically Gorenstein schemes with
prescribed properties. Queen's Papers in Pure and Applied Mathematics, Volume
123, 2002.
40 2003g:13010 J. Migliore and U.
Nagel. Monomial Ideals and the Gorenstein Liaison
Class of a Complete Intersection, Compositio Math. 133:25-36, 2002.
41 2003e:13020 J. Migliore and R. Miró-Roig. On the Minimal Free Resolution of n+1 General Forms. Trans. Amer. Math. Soc. 355:1-36, 2003.
42 2004b:13001 T. Harima, J.
Migliore, U. Nagel and J. Watanabe. The Weak and Strong Lefschetz
Properties for Artinian K-Algebras. J. Algebra
262:99-126, 2003.
43 2004h:14052 J. Migliore and U.
Nagel. Liaison and Related Topics: Notes from the Torino Workshop/School. Rendiconti del Seminario Matematico-Università e Politecnico
di Torino 59:59-126, 2001 (but appeared in 2003). PDF
44 2004c:13027 J. Migliore and R. Miró-Roig. Ideals of General Forms and the Ubiquity of the
Weak Lefschetz Property. J. Pure Appl. Algebra 182:79-107, 2003. PDF
45 2004k:14082 J. Migliore and U.
Nagel, Reduced arithmetically Gorenstein schemes and Simplicial Polytopes with maximal Betti
numbers. Adv. Math 180:1-63,
2003. PDF
46 2005e:14086 J. Migliore and C.
Peterson. A symbolic test for (i,j)-uniformity
in reduced zero-schemes. J. Symb. Comp. 37:403-413, 2004. PDF
47 2006c:13019 J. Migliore, R. Miró-Roig and U. Nagel. Minimal Resolution of Relatively
Compressed Level Algebras. J. Algebra
284:333-370, 2005 . PDF
48 2005m:14087 J. Migliore and U.
Nagel. Tetrahedral Curves, Int. Math. Res.
Notices 2005:15:899-939, 2005. PDF
49 2005m:14087 J. Migliore, U. Nagel
and T. Roemer. The multiplicity conjecture in low codimensions,
Math. Res. Lett.
12:731-748, 2005. PDF
50 2007a:13018 J. Migliore. Families
of reduced zero-dimensional schemes, Collectanea Mathematica
57:173-192, 2006. PDF
51 2007a:13016 A.V. Geramita, J. Migliore and L. Sabourin.
The first infinitesimal neighborhood of a linear configuration of points in P2,
J. Algebra 298(2):563-611,
2006. PDF
52 2007f:13021 C. Francisco, J.
Migliore and U. Nagel. On the Componentwise Linearity
and the Minimal Free Resolution of a Tetrahedral Curve, J. Algebra 299(2):535-569, 2006. PDF
53 2008a:13020 J. Ahn and J. Migliore. Some geometric results arising from
the Borel-fixed property, J. Pure Appl. Algebra 209(2):337-360, 2007. PDF
54 2007k:13033 A.V. Geramita, T. Harima, J. Migliore and Y. Shin. The Hilbert
function of a level algebra. Memoirs of the
Amer. Math. Soc. Vol. 186, 2007; 139 pp. Softcover, ISBN-10:
0-8218-3940-3, ISBN-13: 978-0-8218-3940-9 PDF
55 2008d:13024 J. Migliore and F. Zanello. The Hilbert functions which force the Weak Lefschetz Property, J.
Pure Appl. Algebra. 210(2):465-471, 2007. PDF
56 2008b:13022 J. Migliore. The
Geometry of Hilbert Functions, in: "Syzygies and Hilbert functions,"
Lect. Notes in Pure and Appl. Math. 254 (ed. Irena Peeva),
CRC Press (2007), 179-208. PDF
57 MR2389239 C. Huneke,
J. Migliore, U. Nagel and B. Ulrich. Minimal Homogeneous Liaison and Licci Ideals, in: "Algebra, Geometry and their
Interactions," Contemporary Math. vol. 448 (2007), 129-139. PDF
58 MR2379783 J. Migliore, U. Nagel
and T. Roemer. Extensions of the Multiplicity Conjecture, Trans. Amer. Math. Soc. 360(6):2965-2985
(2008). PDF
59 MR2408321 R. Hartshorne, J.
Migliore and U. Nagel. Liaison addition and the structure of a Gorenstein liaison class, Journal of Algebra 319:3324-3342 (2008). PDF
60 MR 2398755 J. Migliore. The
geometry of the Weak Lefschetz Property and level
sets of points, Canad. J. Math. 60:391-411 (2008). PDF
61 MR2378372 J. Migliore, U. Nagel
and F. Zanello. An improved Multiplicity Conjecture
for codimension three Gorenstein
algebras, Comm. Algebra 36:112-119
(2008). PDF
62 MR2385645 J. Migliore, U. Nagel
and F. Zanello. A characterization of Gorenstein Hilbert functions in codimension
four with small initial degree, Math. Res. Lett. 15:331-349 (2008). PDF
63 MR 2399039 J. Migliore, U. Nagel
and F. Zanello. On the degree 2 entry of a Gorenstein h-vector and a conjecture of Stanley, Proc. Amer. Math. Soc. 136:2755-2762
(2008). PDF
64 MR 2399039 J. Migliore and F. Zanello. The strength of the Weak Lefschetz
Property, Illinois Journal of Mathematics
52:1417-1433 (2008). PDF
65 MR 2494405 J. Migliore, U. Nagel
and F. Zanello. Bounds and asymptotic minimal growth
for Gorenstein Hilbert functions, J. Algebra 321:1510-1521 (2009), No. 5. PDF
66 MR 2514843 A.V. Geramita, B. Harbourne and J.
Migliore. Classifying Hilbert functions of fat point subschemes
in P2, Collectanea Mathematica 60:159-192
(2009), No. 2. PDF
MR 2772331 Erratum to:
Classifying Hilbert functions of fat point subschemes
in P2.
67 MR 2555957 J. Hauenstein,
J. Migliore, C. Peterson and A. Sommese. Numerical
computation of the dimensions of the cohomology of
twists of ideal sheaves, in: "Interactions of Classical and Numerical
Algebraic Geometry (Notre Dame 2008)," Contemporary Math. vol. 496 (2009),
235-242. PDF
68 MR 2664651 J. Migliore and U.
Nagel. Minimal links and a result of Gaeta, In:
"Liaison, Schottky Problem and Invariant Theory:
Remembering Federico Gaeta," Progress in Mathematics, Vol. 280 (2010),
103-132, Birkhäuser. PDF
69 MR 2719680 J. Migliore, R. Miró-Roig and U. Nagel. Monomial ideals, almost complete
intersections and the Weak Lefschetz Property, Trans. Amer. Math. Soc. 363:229-257
(2011) PDF
70 MR 2771642 J. Migliore and M. Patnott. Minimal Free Resolutions of General Points Lying
on Cubic Surfaces in P3, J.
Pure Appl. Algebra 215:1737-1746 (2011). PDF
71 MR 2890901 L. Chiantini
and J. Migliore. Determinantal representation and subschemes of general plane curves, Linear Algebra and its Applications 436:1001-1013
(2012). PDF
72 MR 2932581 A.V. Geramita, B. Harbourne and J.
Migliore. Hilbert functions of fat point subschemes
of the plane: the two-fold way, in: "Progress in Commutative Algebra 1: Combinatorics and Homology," Proceedings in
Mathematics, de Gruyter (2012), 55-83. PDF
73 MR 2931681 M. Boij,
J. Migliore, R. Miró-Roig, U. Nagel and F. Zanello. The shape of a pure O-sequence, Memoirs Amer. Math. Soc. vol. 218, No.
2024, July, 2012. PDF
74 MR 2966707 J. Migliore, R. Miró-Roig and U. Nagel. On the Weak Lefschetz
property for powers of linear forms, Algebra
and Number Theory 6:487-526 (2012). PDF
75 MR 3003727 A.V. Geramita, B. Harbourne and J.
Migliore. Star configurations in Pn,
J. Algebra 376:279-299 (2013). PDF
76 MR 3051384 J. Migliore, U. Nagel
and F. Zanello. Pure O-sequences: known results,
applications and open problems, in ``Commutative Algebra: Expository Papers
Dedicated to David Eisenbud on the Occasion of His
65th Birthday," Springer (2013), 535-559. PDF
77 MR 3045153 E. Gorla,
J. Migliore, and U. Nagel. Groebner bases via linkage,
J. Algebra 384:110-134 (2013). PDF
78 MR 3041764 J. Migliore and U.
Nagel. Gorenstein algebras presented by quadrics, Collectanea Math. 62:211-233 (2013) PDF
79 MR 3114954 J. Migliore and U.
Nagel. Numerical Macaulification, in: "A
Celebration of Algebraic Geometry", edited by Brendan Hassett,
James Mckernan, Jason Starr and Ravi Vakil, Clay Mathematics Proceedings 18 (2013), 509-534. PDF
80 MR 3109735 J. Migliore and U.
Nagel. Glicci ideals, Compositio Mathematica 149:1583-1591
(2013). PDF
81 MR 3125561 J. Migliore, R. Miró-Roig, S. Murai, U. Nagel and
J. Watanabe. On ideals with the Rees property, Archiv der Mathematik (Basel)
101:445-454 (2013). PDF
82 MR 3161738 J. Migliore and U.
Nagel. A tour of the Weak and Strong Lefschetz
Properties, J. Comm. Algebra 5(3):329-358
(2013). PDF
83 MR 3166064 M. Boij,
J. Migliore, R. Miró-Roig, U. Nagel and F. Zanello. On the Weak Lefschetz
Property for artinian Gorenstein
algebras of codimension three, J. Algebra 403:48-68 (2014). PDF
84 MR 3327541 L. Chiantini
and J. Migliore. Almost maximal growth of the Hilbert function, J. Algebra 431:38-77 (2015). PDF
85 MR 3482438 D. Cook II, J.
Migliore, U. Nagel and F. Zanello. An algebraic
approach to finite projective planes, J.
Alg. Comb. 43:495-519 (2016). PDF
86 MR 3565355 J. Migliore and F. Zanello. Stanley's nonunimodal Gorenstein h-vector is optimal, Proc. Amer. Math. Soc. 145:1-9 (2017). PDF
87 MR 3683102 A.V. Geramita, B. Harbourne, J.
Migliore and U. Nagel. Matroid configurations and
symbolic powers of their ideals, Trans. Amer.
Math. Soc. 369:7049-7066 (2017). PDF
88 MR 3694461 J. Ahn, J. Migliore and Y-S Shin, Green's theorem and Gorenstein sequences, J.
Pure Applied Algebra 222:387-413 (2018). PDF
89 MR 3731687 J.
Migliore and R.M. Miró-Roig, On the strong Lefschetz problem for uniform powers of general linear
forms in k[x,y,z], Proc.
Amer. Math.Soc. 146:507-523 (2018) PDF
90 MR 3799191 J.
Migliore and F. Zanello, Unimodal
Gorenstein h-vectors without the Stanley-Iarrobino property, Communications
in Algebra 46:2054-2062 (2018) PDF
91 MR 3787345 G. Favacchio, E. Guardo and J.
Migliore, On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces, Proceedings
of the Amer. Math. Soc.
146: 2811-2825 (2018). PDF
92 MR 3789915 M. Boij, J. Migliore, R.M. Miró-Roig
and U. Nagel, The non-Lefschetz locus, J. Algebra 505:
288--320 (2018). PDF
93 G. Favacchio and J. Migliore. Multiprojective
spaces and the arithmetically Cohen-Macaulay property, accepted for publication
in Math. Proc. Camb.
Phil. Soc. PDF.
94 M. Boij, J.
Migliore, R.M. Miró-Roig and U. Nagel. The minimal resolution
conjecture on a general quartic surface in P3, accepted for
publication in J. Pure Appl. Algebra PDF.
95 D. Cook II, B. Harbourne,
J. Migliore and U. Nagel. Line arrangements and configurations of points with
an unexpected geometric property, accepted for publication in Compositio Math. PDF.
96 M.V. Catalisano,
A.V. Geramita, A. Gimigliano,
B. Harbourne, J. Migliore, U. Nagel and Y.S. Shin.
Secant varieties of the varieties of reducible hypersurfaces
in Pn, preprint 2015. PDF
97 S. Cooper, G. Fatabbi,
E. Guardo, A. Lorenzini, J.
Migliore, U. Nagel, A. Seceleanu, J. Szpond and A. Van Tuyl. Symbolic
powers of codimension two Cohen-Macaulay ideals,
preprint 2016. PDF
98 J. Migliore, U.
Nagel and H. Schenck, The weak Lefschetz
property for quotients by quadratic monomials, preprint 2016. PDF
99 J. Migliore and U.
Nagel. The Lefschetz question for ideals generated by
powers of linear forms in few variables, preprint 2017. PDF.
100 B.
Harbourne, J. Migliore, U. Nagel and Z. Teitler, Unexpected hypersurfaces
and where to find them, preprint 2018. PDF.
1 J.
Migliore. Experiments in Commutative Algebra and Algebraic Geometry - Fourth
International CoCoA School on Computer Algebra, Porto
Conte, May 23-26, 2005. These are the expanded notes from my lecture series at
the school. PDF