no. 2
On curves with natural cohomology and their deficiency modules
Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 325-357.

On étudie la résolution libre minimale du module de Hartshorne-Rao d’une courbe à cohomologie naturelle, et on donne des conditions sur les degrés et les rangs des termes de la résolution.

The minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology is studied, and conditions are given on the degrees and the ranks of the terms of this resolution.

@article{AIF_1993__43_2_325_0,
     author = {Bolondi, Giorgio and Migliore, Jean-Claude},
     title = {On curves with natural cohomology and their deficiency modules},
     journal = {Annales de l'Institut Fourier},
     pages = {325--357},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {43},
     number = {2},
     year = {1993},
     doi = {10.5802/aif.1334},
     mrnumber = {94h:14032},
     zbl = {0779.14008},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.1334/}
}
TY  - JOUR
AU  - Bolondi, Giorgio
AU  - Migliore, Jean-Claude
TI  - On curves with natural cohomology and their deficiency modules
JO  - Annales de l'Institut Fourier
PY  - 1993
SP  - 325
EP  - 357
VL  - 43
IS  - 2
PB  - Institut Fourier
PP  - Grenoble
UR  - http://archive.numdam.org/articles/10.5802/aif.1334/
DO  - 10.5802/aif.1334
LA  - en
ID  - AIF_1993__43_2_325_0
ER  - 
%0 Journal Article
%A Bolondi, Giorgio
%A Migliore, Jean-Claude
%T On curves with natural cohomology and their deficiency modules
%J Annales de l'Institut Fourier
%D 1993
%P 325-357
%V 43
%N 2
%I Institut Fourier
%C Grenoble
%U http://archive.numdam.org/articles/10.5802/aif.1334/
%R 10.5802/aif.1334
%G en
%F AIF_1993__43_2_325_0
Bolondi, Giorgio; Migliore, Jean-Claude. On curves with natural cohomology and their deficiency modules. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 325-357. doi : 10.5802/aif.1334. http://archive.numdam.org/articles/10.5802/aif.1334/

[B] G. Bolondi, Irreducible families of curves with fixed cohomology, Arch. Math., 53 (1989), 300-305. | MR | Zbl

[BB] E. Ballico, G. Bolondi, The variety of module structures, Arch. Math., 54 (1990), 397-408. | MR | Zbl

[BBM] E. Ballico, G. Bolondi, J.C. Migliore, The Lazarsfeld-Rao problem for liaison classes of two-codimensional subschemes of Pn, Amer. Jour. of Math., 113 (1991), 117-128. | MR | Zbl

[BM1] G. Bolondi, J.C. Migliore, Classification of maximal rank curves in the liaison class Ln, Math. Ann., 277 (1987), 585-603. | MR | Zbl

[BM2] G. Bolondi, J.C. Migliore, Buchsbaum liaison classes, J. Algebra, 123 (1989), 426-456. | MR | Zbl

[BM3] G. Bolondi, J.C. Migliore, The Lazarsfeld-Rao problem for Buchsbaum curves, Rend. Sem. Mat. Univ. Padova, 82 (1989), 67-97. | Numdam | MR | Zbl

[BM4] G. Bolondi, J.C. Migliore, The structure of an even liaison class, Trans. A.M.S., 316 (1989), 1-37. | MR | Zbl

[F] G. Floystad, On space curves with good cohomological properties, Math. Ann., 291 (1991), 505-549. | MR | Zbl

[GMa] S. Giuffrida, R. Maggioni, On the Rao module of a curve lying on a smooth cubic surface in P3, II. Preprint Europroj N° 5. | Zbl

[GM] A.V. Geramita, J.C. Migliore, On the ideal of an arithmetically Bucshbaum curve, J. Pure and Appl. Algebra, 54 (1988), 215-247. | MR | Zbl

[LR] R. Lazarsfeld, A.P. Rao, Algebraic Geometry-Open problems (Ravello 1982). Lecture Notes in Math., vol. 997, Springer-Verlag Berlin, 1983, 267-289. | Zbl

[M] J.C. Migliore, Geometric invariants for liaison of space curves, J. Algebra, 99 (1986), 548-572. | MR | Zbl

[MP] M. Martin-Deschamps, D. Perrin, Sur la classification des courbes gauches, Astérisque, Soc. Math. de France, (1990), 184-185. | Numdam | MR | Zbl

[MP1] M. Martin-Deschamps, D. Perrin, Courbes gauches et Modules de Rao, to appear. | Zbl

[R] A.P. Rao, Liaison among curves in P3, Inv. Math., 40 (1979), 205-217. | MR | Zbl

[SV] J. Stückrad, W. Vogel, Buchsbaum rings and applications, Springer-Verlag Berlin, 1986. | Zbl

[Sw] Ph. Schwartau, Liaison addition and monomial ideals, Ph. D. Thesis, Brandeis University, 1982.

Cité par Sources :