When is a Schubert variety Gorenstein?

Alexander Woo, Alexander Yong

Research output: Contribution to conferencePaperpeer-review

Abstract

A variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property implies a variety behaves like a smooth one for various algebra-geometric purposes. We introduce a new notion of pattern avoidance involving Bruhat order and use it to characterize which Schubert varieties are Gorenstein. We also give an explicit description as a line bundle of the canonical sheaf of a Gorenstein Schubert variety.

Original languageEnglish (US)
Pages1001-1007
Number of pages7
StatePublished - Dec 1 2005
Externally publishedYes
Event17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy
Duration: Jun 20 2005Jun 25 2005

Other

Other17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05
CountryItaly
CityTaormina
Period6/20/056/25/05

ASJC Scopus subject areas

  • Algebra and Number Theory

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