The basepoint-freeness threshold of a very general abelian surface
Algebraic Geometry
2021-12-30 v2
Abstract
For abelian surfaces of Picard rank 1, we perform explicit computations of the cohomological rank functions of the ideal sheaf of one point, and in particular of the basepoint-freeness threshold. Our main tool is the relation between cohomological rank functions and Bridgeland stability. In virtue of recent results of Caucci and Ito, these computations provide new information on the syzygies of polarized abelian surfaces.
Keywords
Cite
@article{arxiv.2107.01896,
title = {The basepoint-freeness threshold of a very general abelian surface},
author = {Andrés Rojas},
journal= {arXiv preprint arXiv:2107.01896},
year = {2021}
}
Comments
Added details in Corollary 3.3. Final version, to appear in Selecta Math