Work

When is a Schubert variety Gorenstein?

Year: 2004

Type: preprint

Abstract: A (normal) variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property, which measures the ``pathology'' of the singularities of a variety, is thus stronger than Cohen-Macualayness, but is also weaker than smoothness. We determine which Schubert varieties are Gorenstein in terms of a combinatorial characterization using generalized pattern avoidance conditions. We also give an explicit description as a line bundle of the canonical sheaf of a Gorenstein Schubert variety.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0409490

Authors: Woo, Alexander, Yong, Alexander

Institutions: University of California, Berkeley, University of Minnesota, Fields Institute for Research in Mathematical Sciences

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2606140063

Cites:

Cited by: 2

Related to: 20