Cohomological dimension, Lyubeznik numbers, and connectedness properties in mixed characteristic
Commutative Algebra
2016-09-20 v1 Algebraic Geometry
Abstract
We establish a "second vanishing theorem" for local cohomology modules over regular rings of unramified mixed characteristic, which relates the connectedness of the spectrum of a ring with the vanishing of local cohomology. Applying this, and new results on the mixed characteristic Lyubeznik numbers, we further study connectedness properties of the spectra of a certain class of rings.
Keywords
Cite
@article{arxiv.1609.05846,
title = {Cohomological dimension, Lyubeznik numbers, and connectedness properties in mixed characteristic},
author = {Daniel J. Hernández and Luis Núñez-Betancourt and Felipe Pérez and Emily E. Witt},
journal= {arXiv preprint arXiv:1609.05846},
year = {2016}
}
Comments
21 pages, comments welcome!