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A survey on the Lyubeznik numbers

2014/06/30 by Luis Núñez‐Betancourt, Luis Núñez-Betancourt, Emily E. Witt +4
Mathematics · #13D45 #13H99 #13N10 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #advanced mathematical theories #math.AC #math.AG #msc:13D45 #msc:13H99 #msc:13N10

paper · pdf · doi:10.48550/arxiv.1406.7590

Comments welcome. Workshop: "Taller de Vinculación: Matemáticos Mexicanos Jóvenes en el Mundo."

arxiv created 2014/06/30 · openalex publication_date 2014/06/30 · arxiv updated 2014/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Lyubeznik numbers are invariants of a local ring containing a field that capture ring-theoretic properties, but also have numerous connections to geometry and topology. We discuss basic properties of these integer-valued invariants, as well as describe some significant results and recent developments (including certain generalizations) in the area.

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