Universal flattening of Frobenius
Algebraic Geometry
2024-02-27 v5 Commutative Algebra
Abstract
For a variety of positive characteristic and a non-negative integer , we define its -th F-blowup to be the universal flattening of the -iterated Frobenius of . Thus we have the sequence (a set labeled by non-negative integers) of blowups of . Under some condition, the sequence stabilizes and leads to a nice (for instance, minimal or crepant) resolution. For tame quotient singularities, the sequence leads to the -Hilbert scheme.
Keywords
Cite
@article{arxiv.0706.2700,
title = {Universal flattening of Frobenius},
author = {Takehiko Yasuda},
journal= {arXiv preprint arXiv:0706.2700},
year = {2024}
}