Farkas, Gavril  ; Mustaţǎ, Mircea  ; Popa, Mihnea 1
@article{ASENS_2003_4_36_4_553_0,
author = {Farkas, Gavril and Musta\c{t}ǎ, Mircea and Popa, Mihnea},
title = {Divisors on $\mathcal {M}_{g,g+1}$ and the minimal resolution conjecture for points on canonical curves},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {553--581},
year = {2003},
publisher = {Elsevier},
volume = {Ser. 4, 36},
number = {4},
doi = {10.1016/S0012-9593(03)00022-3},
zbl = {1063.14031},
language = {en},
url = {https://www.numdam.org/articles/10.1016/S0012-9593(03)00022-3/}
}
TY - JOUR
AU - Farkas, Gavril
AU - Mustaţǎ, Mircea
AU - Popa, Mihnea
TI - Divisors on $\mathcal {M}_{g,g+1}$ and the minimal resolution conjecture for points on canonical curves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2003
SP - 553
EP - 581
VL - 36
IS - 4
PB - Elsevier
UR - https://www.numdam.org/articles/10.1016/S0012-9593(03)00022-3/
DO - 10.1016/S0012-9593(03)00022-3
LA - en
ID - ASENS_2003_4_36_4_553_0
ER -
%0 Journal Article
%A Farkas, Gavril
%A Mustaţǎ, Mircea
%A Popa, Mihnea
%T Divisors on $\mathcal {M}_{g,g+1}$ and the minimal resolution conjecture for points on canonical curves
%J Annales scientifiques de l'École Normale Supérieure
%D 2003
%P 553-581
%V 36
%N 4
%I Elsevier
%U https://www.numdam.org/articles/10.1016/S0012-9593(03)00022-3/
%R 10.1016/S0012-9593(03)00022-3
%G en
%F ASENS_2003_4_36_4_553_0
Farkas, Gavril; Mustaţǎ, Mircea; Popa, Mihnea. Divisors on $\mathcal {M}_{g,g+1}$ and the minimal resolution conjecture for points on canonical curves. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 36 (2003) no. 4, pp. 553-581. doi: 10.1016/S0012-9593(03)00022-3
[1] , , Footnotes to a paper of Beniamino Segre, Math. Ann. 256 (1981) 341-362. | Zbl | MR
[2] , , Calculating cohomology groups of moduli spaces of curves via algebraic geometry, Inst. Hautes Etudes Sci. Publ. Math. 88 (1998) 97-127. | Zbl | MR | Numdam
[3] , , , , Geometry of Algebraic Curves, Grundlehren, 267, Springer, 1985. | Zbl | MR
[4] , , The minimal free resolution of the ideal of s general points in P3, in: Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, CMS Conf. Proc., 6, Amer. Math. Society, Providence, RI, 1986, pp. 1-10. | Zbl | MR
[5] , Commutative Algebra with a View Toward Algebraic Geometry, Springer, 1995. | Zbl | MR
[6] , , Limit linear series: basic theory, Invent. Math. 85 (2) (1986) 337-371. | Zbl | MR
[7] , , Irreducibility of some families of linear series with Brill-Noether number −1, Ann. Scient. Ec. Norm. Sup. (4) 22 (1) (1989) 33-53. | Zbl | Numdam
[8] , , Gale duality and free resolutions of ideals of points, Invent. Math. 136 (2) (1999) 419-449. | Zbl | MR
[9] , , , , Exterior algebra methods for the Minimal Resolution Conjecture, preprint, 2000, math.AG/0011236. | MR
[10] , , On the normal bundles of smooth rational space curves, Math. Ann. 256 (1981) 453-463. | Zbl | MR
[11] , Intersection Theory, Springer-Verlag, Berlin, 1998. | Zbl | MR
[12] Gaeta F., A fully explicit resolution of the ideal defining N generic points in the plane, preprint, 1995.
[13] Green M., Koszul cohomology and geometry, in: Lectures on Riemann surfaces, World Scientific, Singapore, 177-200. | Zbl | MR
[14] , , On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986) 73-90. | Zbl | MR
[15] , , A simple proof of Petri's theorem on canonical curves, in: Geometry Today, Progress in Math., Birkhäuser, 1986. | Zbl
[16] , , Some results on the syzygies of finite sets and algebraic curves, Compositio Math. 67 (1988) 301-314. | Zbl | MR | Numdam
[17] , On the Kodaira dimension of the moduli space of curves. The even genus case, Invent. Math. 75 (3) (1984) 437-466. | Zbl | MR
[18] , , Moduli of Curves, Springer-Verlag, New York, 1998. | Zbl | MR
[19] , , On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1) (1982) 23-88. | Zbl | MR
[20] , , La résolution minimale de l'arrangement d'un grand nombre de points dans Pn, Invent. Math. 126 (3) (1996) 467-503. | Zbl | MR
[21] , A sampling of vector bundle techniques in the study of linear series, in: Lectures on Riemann Surfaces, World Scientific, Singapore, 1989, pp. 500-559. | Zbl | MR
[22] Lazarsfeld R., private communication.
[23] Logan A., Moduli spaces of curves with marked points, Ph.D. Thesis, Harvard University, 1999.
[24] Lorenzini A.M., On the Betti numbers of points in projective space, Ph.D. Thesis, Queen's University, Kingston, Ontario, 1987.
[25] , The minimal resolution conjecture, J. Algebra 156 (1) (1993) 5-35. | Zbl | MR
[26] , Graded Betti numbers of general finite subsets of points on projective varieties, Le Matematiche 53 (1998) 53-81. | Zbl | MR
[27] , , On the canonical ring of a curve, in: Algebraic Geometry and Commutative Algebra, Vol. II, Kinokuriya, 1988, pp. 503-516. | Zbl | MR
[28] , On the base locus of the generalized theta divisor, C. R. Acad. Sci. Paris 329 (1) (1999) 507-512. | Zbl | MR
[29] , Sections des fibrés vectoriels sur une courbe, Bull. Soc. Math. France 110 (1982) 103-125. | Zbl | MR | Numdam
[30] , The minimal free resolution of the homogeneous ideal of s general points in P4, Math. Z. 219 (2) (1995) 231-234. | Zbl | MR
Cité par Sources :






