Characteristic cycle and the Euler number of a constructible sheaf on a surface
Algebraic Geometry
2015-10-14 v1
Abstract
We define the characteristic cycle of a constructible sheaf on a smooth surface in the cotangent bundle. We prove that the intersection number with the 0-section equals the Euler number and that the total dimension of vanishing cycles at an isolated characteristic point is also computed as an intersection number.
Keywords
Cite
@article{arxiv.1402.5720,
title = {Characteristic cycle and the Euler number of a constructible sheaf on a surface},
author = {Takeshi Saito},
journal= {arXiv preprint arXiv:1402.5720},
year = {2015}
}
Comments
34 pages