Pushforwards of Tilting Sheaves
Algebraic Geometry
2018-11-30 v2 Representation Theory
Abstract
We investigate the behaviour of tilting sheaves under pushforward by a finite Galois morphism. We determine conditions under which such a pushforward of a tilting sheaf is a tilting sheaf. We then produce some examples of Severi Brauer flag varieties and arithmetic toric varieties in which our method produces a tilting sheaf, adding to the list of positive results in the literature. We also produce some counterexamples to show that such a pushfoward need not be a tilting sheaf.
Keywords
Cite
@article{arxiv.1509.02170,
title = {Pushforwards of Tilting Sheaves},
author = {Ajneet Dhillon and Nicole Lemire and Youlong Yan},
journal= {arXiv preprint arXiv:1509.02170},
year = {2018}
}
Comments
21 pages