Prime thick subcategories on elliptic curves
Algebraic Geometry
2022-08-03 v3
Abstract
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic curves, and determine the Serre invariant locus of Matsui spectrum of derived category of coherent sheaves on any smooth projective curves.
Cite
@article{arxiv.2112.13486,
title = {Prime thick subcategories on elliptic curves},
author = {Yuki Hirano and Genki Ouchi},
journal= {arXiv preprint arXiv:2112.13486},
year = {2022}
}
Comments
18 pages, Remark 4.15 is added. To appear in Pacific journal of mathematics