Higher syzygies on abelian surfaces

Jaesun Shin

Higher syzygies on abelian surfaces

Algebraic Geometry 2017-09-06 v3

Authors: Jaesun Shin

Abstract

Based on the theory of an infinitesimal Newton-Okounkov body, we extend the results of Lazarsfeld-Pareschi-Popa on abelian surfaces. Moreover, we show that the higher syzygies of $(X,L)$ are completely determined by its Seshadri constant when $L^{2}$ is large. As an application, we improve the existing lower bound of $(L^{2})$ for higher syzygies of a polarized abelian surface $(X,L)$ .

Cite

@article{arxiv.1608.06052,
  title  = {Higher syzygies on abelian surfaces},
  author = {Jaesun Shin},
  journal= {arXiv preprint arXiv:1608.06052},
  year   = {2017}
}

Comments

14 pages, There was a critical error in the proof of Lemma 3.1 in version 1, so we removed some related results. We modified and added some results

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