When is a Schubert variety Gorenstein?

Details When is a Schubert variety Gorenstein? When is a Schubert variety Gorenstein?

2004-09-25

arxiv.org/abs/math/0409490v2

Advances in Math., Vol 207 (2006), Issue 1 205--220

Mathematics

Algebraic Geometry

15 pages, geometric characterization of Gorensteinness added; final version to appear in Adv. Math

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

When is a Schubert variety Gorenstein? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with When is a Schubert variety Gorenstein?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and When is a Schubert variety Gorenstein? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631340