A Riemann-Hurwitz Theorem for the Algebraic Euler Characteristic
Algebraic Geometry
2017-04-20 v4
Abstract
We prove an analogue of the Riemann-Hurwitz theorem for computing Euler characteristics of pullbacks of coherent sheaves through finite maps of smooth projective varieties, subject only to the condition that the irreducible components of the branch and ramification locus have simple normal crossings.
Cite
@article{arxiv.1510.00863,
title = {A Riemann-Hurwitz Theorem for the Algebraic Euler Characteristic},
author = {Andrew Fiori},
journal= {arXiv preprint arXiv:1510.00863},
year = {2017}
}
Comments
18 pages