Characteristic cycle of a rank one sheaf and ramification theory
Algebraic Geometry
2017-12-27 v1 Number Theory
Abstract
We compute the characteristic cycle of a rank one sheaf on a smooth surface over a perfect field of positive characteristic. We construct a canonical lifting on the cotangent bundle of Kato's logarithmic characteristic cycle using ramification theory and prove the equality of the characteristic cycle and the canonical lifting. As corollaries, we obtain a computation of the singular support in terms of ramification theory.
Keywords
Cite
@article{arxiv.1712.09234,
title = {Characteristic cycle of a rank one sheaf and ramification theory},
author = {Yuri Yatagawa},
journal= {arXiv preprint arXiv:1712.09234},
year = {2017}
}
Comments
58 pages