Frobenius splitting of cotangent bundles of flag varieties
From MaRDI portal
Publication:1298092
DOI10.1007/S002220050320zbMATH Open0959.14031arXivmath/9809039OpenAlexW1955936458MaRDI QIDQ1298092
Author name not available (Why is that?)
Publication date: 29 September 1999
Published in: (Search for Journal in Brave)
Abstract: We use the G-invariant non-degenerate form on the Steinberg module to Frobenius split the cotangent bundle of a flag variety in good prime characteristics. This was previously only known for the general linear group. Applications are a vanishing theorem for pull back of line bundles to the cotangent bundle (proved for the classical groups and G_2 by Andersen and Jantzen and in characteristic zero by B. Broer (for all groups)), normality and rational singularities for the subregular nilpotent variety and good filtrations of the global sections of pull backs of line bundles to the cotangent bundle, which in turn implies good filtrations of cohomology of induced representations.
Full work available at URL: https://arxiv.org/abs/math/9809039
No records found.
No records found.
This page was built for publication: Frobenius splitting of cotangent bundles of flag varieties
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1298092)
