Vanishing theorem for the cohomology of line bundles on Bott-Samelson varieties
Boris Pasquier (HCM, Bonn)
TL;DR
This paper establishes vanishing results for the cohomology of line bundles on Bott-Samelson varieties by leveraging toric degeneration techniques and cohomology descriptions of toric varieties.
Contribution
It introduces a novel approach using toric degeneration to derive cohomology vanishings for line bundles on Bott-Samelson varieties.
Findings
Vanishing theorems for line bundle cohomology on Bott-Samelson varieties.
Application of toric degeneration methods.
Connections between Bott-Samelson and toric variety cohomology.
Abstract
We use the toric degeneration of Bott-Samelson varieties and the description of cohomolgy of line bundles on toric varieties to deduce vanishings results for the cohomology of lines bundles on Bott-Samelson varieties.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry