Cohomology of line bundles on horospherical varieties

2018/08/04 by Benoît Dejoncheere, Dejoncheere, Benoît, B. Narasimha Chary +1 · 1 citation
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14L30 #14M27 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1808.01508

openalex publication_date 2018/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A horospherical variety is a normal algebraic variety where a connected reductive algebraic group acts with an open orbit isomorphic to a torus bundle over a flag variety. In this article we study the cohomology of line bundles on complete horospherical varieties.

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• On the GIT quotient of Grassmannians by one dimensional torus

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