Exceptional hereditary curves and real curve orbifolds
Algebraic Geometry
2024-12-02 v2 Representation Theory
Abstract
In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also give a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing.
Cite
@article{arxiv.2411.06222,
title = {Exceptional hereditary curves and real curve orbifolds},
author = {Igor Burban},
journal= {arXiv preprint arXiv:2411.06222},
year = {2024}
}
Comments
Dedicated to Yuriy Drozd on the occasion of his 80th birthday