Grauert-Riemenschneider Vanishing via modulus sheaves with transfers
Algebraic Geometry
2019-03-05 v2
Abstract
We observe that the classical Grauert-Riemenschneider Vanishing Theorem is a direct consequence of basic results from the theory of modulus sheaves with transfers as developed by Kahn-Saito-Yamazaki. We also obtain a new characterization of rational singularities in characteristic 0.
Keywords
Cite
@article{arxiv.1902.10018,
title = {Grauert-Riemenschneider Vanishing via modulus sheaves with transfers},
author = {Kay Rülling},
journal= {arXiv preprint arXiv:1902.10018},
year = {2019}
}
Comments
The proof does not work because of a gap in the reference [KSYa] which was pointed out by Joseph Ayoub