TY - JOUR

T1 - Cohomology of wheels on toric varieties

AU - Craw, Alastair

AU - Quintero Velez, Alexander

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

UR - http://hmj2.math.sci.hokudai.ac.jp/

UR - http://hmj2.math.sci.hokudai.ac.jp/page/44-1/index.xml#

UR - http://hmj2.math.sci.hokudai.ac.jp/page/44-1/pdf/HMJ44_047-079.pdf

M3 - Article

VL - 44

SP - 47

EP - 79

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

SN - 0385-4035

IS - 1

ER -