Grauert-Riemenschneider Vanishing via modulus sheaves with transfers
arXiv:1902.10018
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.
The proof does not work because of a gap in the reference [KSYa] which was pointed out by Joseph Ayoub