Open Access
September 2014 Generalized Lyubeznik numbers
Luis Núñez-Betancourt, Emily E. Witt
Nagoya Math. J. 215: 1-33 (September 2014). DOI: 10.1215/00277630-2741026


Given a local ring containing a field, we define and investigate a family of invariants that includes the Lyubeznik numbers but captures finer information. These generalized Lyubeznik numbers are defined in terms of D-modules and are proved well defined using a generalization of the classical version of Kashiwara’s equivalence for smooth varieties; we also give a definition for finitely generated K-algebras. These new invariants are indicators of F-singularities in characteristic p>0 and have close connections with characteristic cycle multiplicities in characteristic zero. We characterize the generalized Lyubeznik numbers associated to monomial ideals and compute examples of those associated to determinantal ideals.


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Luis Núñez-Betancourt. Emily E. Witt. "Generalized Lyubeznik numbers." Nagoya Math. J. 215 1 - 33, September 2014.


Published: September 2014
First available in Project Euclid: 23 July 2014

zbMATH: 1318.13027
MathSciNet: MR3296589
Digital Object Identifier: 10.1215/00277630-2741026

Primary: 13D45 , 13N10
Secondary: 13H99

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal

Vol.215 • September 2014
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