Cohomology of line bundles on Schubert varieties - I

Balaji, V. ; Senthamarai Kannan, S. ; Subrahmanyam, K. V. (2004) Cohomology of line bundles on Schubert varieties - I Transformation Groups, 9 (2). pp. 105-131. ISSN 1083-4362

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Official URL: http://www.springerlink.com/content/0ukxmd41jpwcg6...

Related URL: http://dx.doi.org/10.1007/s00031-004-7007-1

Abstract

The aim of this paper is to begin a study of the cohomology modules Hi(X(w),Lλ) for non-dominant weights λ on Schubert varieties X(w) in G/B. The aim is to setup a combinatorial dictionary for describing the cohomology modules and give criteria for their vanishing. Here Lλ denotes the line bundle on X(w) corresponding to the 1-dimensional representation of B given by the character Λ.

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Deposited On:15 Feb 2012 05:12
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