Publications

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Books

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.

Articles

1986

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.

1987

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.

1988

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.

1989

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.

1990

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.

1991

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.

1993

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.

1994

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.

1995

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.

1996

26
98a:14044 J. Migliore, C. Peterson, and Y. Pitteloud. Ropes in projective space. J. Math. Kyoto Univ. 36:251-278, 1996.

1997

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.

1998

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.

1999

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.

2000

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.

2001

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:14083J. 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.

2002

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.

2003

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

2004

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

2005

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

2006

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

2007

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

2008

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
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
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
A.V. Geramita, B. Harbourne and J. Migliore. Classifying Hilbert functions of fat point subschemes of P2, to appear in Collectanea Mathematica. PDF

To appear

65
J. Migliore, U. Nagel and F. Zanello. Bounds and asymptotic minimal growth for Gorenstein Hilbert functions, preprint 2008. PDF

66
J. Migliore and F. Zanello. The strength of the Weak Lefschetz Property, preprint 2008. PDF

67
J. Migliore and U. Nagel. Minimal links and a result of Gaeta, preprint 2008. PDF

Lecture notes

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