English

A survey on the Lyubeznik numbers

Commutative Algebra 2014-07-01 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1406.7590,
  title  = {A survey on the Lyubeznik numbers},
  author = {Luis Núñez-Betancourt and Emily E. Witt and Wenliang Zhang},
  journal= {arXiv preprint arXiv:1406.7590},
  year   = {2014}
}

Comments

Comments welcome. Workshop: "Taller de Vinculaci\'on: Matem\'aticos Mexicanos J\'ovenes en el Mundo."

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