@article{PMIHES_2015__122__301_0, author = {Ein, Lawrence and Lazarsfeld, Robert}, title = {The gonality conjecture on syzygies of algebraic curves of large degree}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {301--313}, publisher = {Springer Berlin Heidelberg}, address = {Berlin/Heidelberg}, volume = {122}, year = {2015}, doi = {10.1007/s10240-015-0072-2}, language = {en}, url = {http://archive.numdam.org/articles/10.1007/s10240-015-0072-2/} }
TY - JOUR AU - Ein, Lawrence AU - Lazarsfeld, Robert TI - The gonality conjecture on syzygies of algebraic curves of large degree JO - Publications Mathématiques de l'IHÉS PY - 2015 SP - 301 EP - 313 VL - 122 PB - Springer Berlin Heidelberg PP - Berlin/Heidelberg UR - http://archive.numdam.org/articles/10.1007/s10240-015-0072-2/ DO - 10.1007/s10240-015-0072-2 LA - en ID - PMIHES_2015__122__301_0 ER -
%0 Journal Article %A Ein, Lawrence %A Lazarsfeld, Robert %T The gonality conjecture on syzygies of algebraic curves of large degree %J Publications Mathématiques de l'IHÉS %D 2015 %P 301-313 %V 122 %I Springer Berlin Heidelberg %C Berlin/Heidelberg %U http://archive.numdam.org/articles/10.1007/s10240-015-0072-2/ %R 10.1007/s10240-015-0072-2 %G en %F PMIHES_2015__122__301_0
Ein, Lawrence; Lazarsfeld, Robert. The gonality conjecture on syzygies of algebraic curves of large degree. Publications Mathématiques de l'IHÉS, Tome 122 (2015), pp. 301-313. doi : 10.1007/s10240-015-0072-2. http://archive.numdam.org/articles/10.1007/s10240-015-0072-2/
[1.] Green–Lazarsfeld gonality conjecture for a generic curve of odd genus, Int. Math. Res. Not., Volume 63 (2004), pp. 3409-3416 | DOI | MR
[2.] Koszul Cohomology and Algebraic Geometry (2010) | Zbl
[3.] Green–Lazarsfeld’s conjecture for generic curves of large gonality, C. R. Math. Acad. Sci. Paris, Volume 336 (2003), pp. 335-339 | DOI | MR | Zbl
[4.] Geometry of Algebraic Curves, I (1985) | DOI
[5.] Asymptotic syzygies of algebraic varieties, Invent. Math., Volume 190 (2012), pp. 603-646 | DOI | MR | Zbl
[6.] On the cobordism class of the Hilbert scheme of a surface, J. Algeb. Geom., Volume 10 (2001), pp. 81-100 | Zbl
[7.] Koszul cohomology and the geometry of projective varieties, J. Differ. Geom., Volume 19 (1984), pp. 125-171 | Zbl
[8.] Koszul cohomology and the geometry of projective varieties, II, J. Differ. Geom., Volume 20 (1984), pp. 279-289 | Zbl
[9.] On the projective normality of complete linear series on an algebraic curve, Invent. Math., Volume 83 (1985), pp. 73-90 | DOI | MR
[10.] Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf, Einstein Metrics and Yangs–Mills Connections (1993), pp. 89-97
[11.] Positivity in Algebraic Geometry, I & II (2004) | DOI | Zbl
[12.] J. Rathmann, in preparation.
[13.] Green’s generic syzygy conjecture for curves of even genus lying on a K3 surface, J. Eur. Math. Soc., Volume 4 (2002), pp. 363-404 | DOI | MR | Zbl
[14.] Green’s canonical syzygy conjecture for generic curves of odd genus, Compos. Math., Volume 141 (2005), pp. 1163-1190 | DOI | MR | Zbl
[15.] Sn-equivariant sheaves and Koszul cohomology, Res. Math. Sci., Volume 1 (2014), p. 10 | DOI | MR
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