3 papers
math.AC2017
Connectedness and Lyubeznik numbers
Luis Núñez-Betancourt, Sandra Spiroff, Emily Witt
We investigate the relationship between connectedness properties of spectra and the Lyubeznik numbers, numerical invariants defined via local cohomology. We prove that for complete…
math.AC2012
Lyubeznik numbers in mixed characteristic
Luis Núñez-Betancourt, Emily E. Witt
This manuscript defines a new family of invariants, analogous to the Lyubeznik numbers, associated to any local ring whose residue field has prime characteristic. In particular, as…
math.AC2012
Generalized Lyubeznik numbers
Luis Núñez-Betancourt, Emily E. Witt
Given a local ring containing a field, we define and investigate a family of invariants that includes the Lyubeznik numbers, but that captures finer information. These "generalized…