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February 2015 Cohomology of wheels on toric varieties
Alastair CRAW, Alexander QUINTERO VÉLEZ
Hokkaido Math. J. 44(1): 47-79 (February 2015). DOI: 10.14492/hokmj/1470052353

Abstract

We describe explicitly the cohomology of the total complex of certain diagrams of invertible sheaves on normal toric varieties. These diagrams, called wheels, arise in the study of toric singularities associated to dimer models. Our main tool describes the generators in a family of syzygy modules associated to the wheel in terms of walks in a family of graphs.

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Alastair CRAW. Alexander QUINTERO VÉLEZ. "Cohomology of wheels on toric varieties." Hokkaido Math. J. 44 (1) 47 - 79, February 2015. https://doi.org/10.14492/hokmj/1470052353

Information

Published: February 2015
First available in Project Euclid: 1 August 2016

zbMATH: 1337.14042
MathSciNet: MR3532100
Digital Object Identifier: 10.14492/hokmj/1470052353

Subjects:
Primary: 05E40, 14M25
Secondary: 05C20‎, 13D02, 13P10

Rights: Copyright © 2015 Hokkaido University, Department of Mathematics

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Vol.44 • No. 1 • February 2015
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