Morphic cohomology of toric varieties
Abd\'o Roig-Maranges
TL;DR
This paper develops a spectral sequence to compute a modified version of morphic cohomology for toric varieties, including singular ones, using combinatorial data from their fans.
Contribution
It introduces a new spectral sequence framework for calculating morphic cohomology of toric varieties based on fan combinatorics.
Findings
Spectral sequence effectively computes morphic cohomology.
Applicable to singular toric varieties.
Connects cohomology with fan combinatorics.
Abstract
In this paper we construct a spectral sequence computing a modified version of morphic cohomology of a toric variety (even when it is singular) in terms of combinatorial data coming from the fan of the toric variety.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications