On top dimensional Lyubeznik numbers in mixed characteristic
Commutative Algebra
2017-07-06 v2
Abstract
We prove that the top mixed characteristic Lyubeznik number of a ring that is a quotient of a complete unramified regular local ring of mixed characteristc with algebraically closed residue field is provided that depth and dim using a second vanishing theorem in mixed characteristic proved in arXiv:1609.05846
Cite
@article{arxiv.1609.06372,
title = {On top dimensional Lyubeznik numbers in mixed characteristic},
author = {Axel Stäbler},
journal= {arXiv preprint arXiv:1609.06372},
year = {2017}
}
Comments
Unfortunately, the main result contains a mistake. One a priori only gets a surjection $E_2^{n, n-d} \to E_\infty^{n, n0d}$ for the ss in question which is too weak to conclude