Abstract
The main aim of this chapter is to give a family of Frobenius splittings of the cotangent bundle T*(G/P) of any flag variety G/P due to Kumar-Lauritzen-Thomsen and thus obtain a cohomology vanishing result for T* (G/P) with coefficients in the line bundles obtained by pullback from G/P. This cohomology vanishing result is applied to study the geometry of nilpotent and subregular cones.
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© 2005 Birkhäuser Boston
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(2005). Cotangent Bundles of Flag Varieties. In: Frobenius Splitting Methods in Geometry and Representation Theory. Progress in Mathematics, vol 231. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4405-9_5
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DOI: https://doi.org/10.1007/0-8176-4405-9_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4191-7
Online ISBN: 978-0-8176-4405-5
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