Higher syzygies on abelian surfaces

Jaesun Shin

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arXiv · 1608.06052

Higher syzygies on abelian surfaces

Jaesun Shin

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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 $(X,L)$.

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BibTeX RIS

Jaesun Shin. 2016-08-22. Higher syzygies on abelian surfaces. https://arxiv.org/abs/1608.06052

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