English

Orbifold Semiorthogonal Decompositions for Abelian Varieties

Algebraic Geometry 2024-06-05 v2

Abstract

Suppose GG is a finite group acting on an Abelian variety AA such that the coarse moduli space A/GA/G is smooth. Using the recent classification result due to Auffarth, Lucchini Arteche, and Quezada, we construct an orbifold semiorthogonal decomposition for D[A/G]\mathcal{D}[A/G] provided G=THG = T\rtimes H with TT a subgroup of translations and HH is a subgroup of group automorphisms.

Keywords

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

R2 v1 2026-06-23T23:33:13.400Z