Cohomology of line bundles on a toric variety and constructible sheaves on its polytope

2006/11/15 by Nathan Broomhead, Broomhead, Nathan
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AG #msc:14M25 #msc:32S60 #msc:52B20

paper · pdf · doi:10.48550/arxiv.math/0611469

14 pages

arxiv created 2006/11/15 · arxiv updated 2009/12/01

Abstract

We explain a method for calculating the cohomology of line bundles on a toric variety in terms of the cohomology of certain constructible sheaves on the polytope. We show its effective use by means of some examples.

Related

• Displaying the cohomology of toric line bundles
• Toric sheaves and polyhedra
• Cohomology of Line Bundles: A Computational Algorithm
• Immaculate line bundles on toric varieties
• Constructible sheaves on toric varieties