@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}, publisher = {Elsevier}, volume = {Ser. 4, 36}, number = {4}, year = {2003}, doi = {10.1016/S0012-9593(03)00022-3}, zbl = {1063.14031}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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. http://archive.numdam.org/articles/10.1016/S0012-9593(03)00022-3/
[1] Footnotes to a paper of Beniamino Segre, Math. Ann. 256 (1981) 341-362. | MR | Zbl
, ,[2] Calculating cohomology groups of moduli spaces of curves via algebraic geometry, Inst. Hautes Etudes Sci. Publ. Math. 88 (1998) 97-127. | Numdam | MR | Zbl
, ,[3] Geometry of Algebraic Curves, Grundlehren, 267, Springer, 1985. | MR | Zbl
, , , ,[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. | MR | Zbl
, ,[5] Commutative Algebra with a View Toward Algebraic Geometry, Springer, 1995. | MR | Zbl
,[6] Limit linear series: basic theory, Invent. Math. 85 (2) (1986) 337-371. | MR | Zbl
, ,[7] Irreducibility of some families of linear series with Brill-Noether number −1, Ann. Scient. Ec. Norm. Sup. (4) 22 (1) (1989) 33-53. | Numdam | Zbl
, ,[8] Gale duality and free resolutions of ideals of points, Invent. Math. 136 (2) (1999) 419-449. | MR | Zbl
, ,[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. | MR | Zbl
, ,[11] Intersection Theory, Springer-Verlag, Berlin, 1998. | MR | Zbl
,[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. | MR | Zbl
[14] On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986) 73-90. | MR | Zbl
, ,[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. | Numdam | MR | Zbl
, ,[17] On the Kodaira dimension of the moduli space of curves. The even genus case, Invent. Math. 75 (3) (1984) 437-466. | MR | Zbl
,[18] Moduli of Curves, Springer-Verlag, New York, 1998. | MR | Zbl
, ,[19] On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1) (1982) 23-88. | MR | Zbl
, ,[20] La résolution minimale de l'arrangement d'un grand nombre de points dans Pn, Invent. Math. 126 (3) (1996) 467-503. | MR | Zbl
, ,[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. | MR | Zbl
,[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. | MR | Zbl
,[26] Graded Betti numbers of general finite subsets of points on projective varieties, Le Matematiche 53 (1998) 53-81. | MR | Zbl
,[27] On the canonical ring of a curve, in: Algebraic Geometry and Commutative Algebra, Vol. II, Kinokuriya, 1988, pp. 503-516. | MR | Zbl
, ,[28] On the base locus of the generalized theta divisor, C. R. Acad. Sci. Paris 329 (1) (1999) 507-512. | MR | Zbl
,[29] Sections des fibrés vectoriels sur une courbe, Bull. Soc. Math. France 110 (1982) 103-125. | Numdam | MR | Zbl
,[30] The minimal free resolution of the homogeneous ideal of s general points in P4, Math. Z. 219 (2) (1995) 231-234. | MR | Zbl
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