Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10130490 | Journal of Algebra | 2018 | 21 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel J. Hernández, Luis Núñez-Betancourt, Felipe Pérez, Emily E. Witt,