Orbifold Semiorthogonal Decompositions for Abelian Varieties
Algebraic Geometry
2024-06-05 v2
Abstract
Suppose is a finite group acting on an Abelian variety such that the coarse moduli space is smooth. Using the recent classification result due to Auffarth, Lucchini Arteche, and Quezada, we construct an orbifold semiorthogonal decomposition for provided with a subgroup of translations and is a subgroup of group automorphisms.
Cite
@article{arxiv.2102.13639,
title = {Orbifold Semiorthogonal Decompositions for Abelian Varieties},
author = {Bronson Lim and Franco Rota},
journal= {arXiv preprint arXiv:2102.13639},
year = {2024}
}
Comments
v1: 21 pages, comments welcome! v2: 25 pages. Title changed, details added in Section 4, improved overall exposition and references updated. Accepted manuscript, to appear in J. noncommut. geom