Syzygies of secant varieties of smooth projective curves and gonality sequences

Autor:	Choe, Junho, Kwak, Sijong, Park, Jinhyung
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra 14N07 14N05 13D02
Druh dokumentu:	Working Paper
Popis:	The purpose of this paper is to prove that one can read off the gonality sequence of a smooth projective curve from syzygies of secant varieties of the curve embedded by a line bundle of sufficiently large degree. More precisely, together with Ein-Niu-Park's theorem, our main result shows that the gonality sequence of a smooth projective curve completely determines the shape of the minimal free resolutions of secant varieties of the curve of sufficiently large degree. This is a natural generalization of the gonality conjecture on syzygies of smooth projective curves established by Ein-Lazarsfeld and Rathmann to the secant varieties. Comment: 22 pages, any comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.03405 Zobrazit plný text záznamu View this record from Arxiv