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://www.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://www.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://www.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://www.numdam.org/articles/10.5802/aif.1334/
[B] Irreducible families of curves with fixed cohomology, Arch. Math., 53 (1989), 300-305. | MR | Zbl
,[BB] The variety of module structures, Arch. Math., 54 (1990), 397-408. | MR | Zbl
, ,[BBM] The Lazarsfeld-Rao problem for liaison classes of two-codimensional subschemes of Pn, Amer. Jour. of Math., 113 (1991), 117-128. | MR | Zbl
, , ,[BM1] Classification of maximal rank curves in the liaison class Ln, Math. Ann., 277 (1987), 585-603. | MR | Zbl
, ,[BM2] Buchsbaum liaison classes, J. Algebra, 123 (1989), 426-456. | MR | Zbl
, ,[BM3] The Lazarsfeld-Rao problem for Buchsbaum curves, Rend. Sem. Mat. Univ. Padova, 82 (1989), 67-97. | Numdam | MR | Zbl
, ,[BM4] The structure of an even liaison class, Trans. A.M.S., 316 (1989), 1-37. | MR | Zbl
, ,[F] On space curves with good cohomological properties, Math. Ann., 291 (1991), 505-549. | MR | Zbl
,[GMa] On the Rao module of a curve lying on a smooth cubic surface in P3, II. Preprint Europroj N° 5. | Zbl
, ,[GM] On the ideal of an arithmetically Bucshbaum curve, J. Pure and Appl. Algebra, 54 (1988), 215-247. | MR | Zbl
, ,[LR] Algebraic Geometry-Open problems (Ravello 1982). Lecture Notes in Math., vol. 997, Springer-Verlag Berlin, 1983, 267-289. | Zbl
, ,[M] Geometric invariants for liaison of space curves, J. Algebra, 99 (1986), 548-572. | MR | Zbl
,[MP] Sur la classification des courbes gauches, Astérisque, Soc. Math. de France, (1990), 184-185. | Numdam | MR | Zbl
, ,[MP1] Courbes gauches et Modules de Rao, to appear. | Zbl
, ,[R] Liaison among curves in P3, Inv. Math., 40 (1979), 205-217. | MR | Zbl
,[SV] Buchsbaum rings and applications, Springer-Verlag Berlin, 1986. | Zbl
, ,[Sw] Liaison addition and monomial ideals, Ph. D. Thesis, Brandeis University, 1982.
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