Cohomology Rings of Toric Wonderful Model
Lorenzo Giordani, Roberto Pagaria, Viola Siconolfi
TL;DR
This paper characterizes the cohomology rings of toric wonderful models for any building set, extending previous results to non well-connected cases using advanced algebraic techniques.
Contribution
It introduces a novel approach to compute cohomology rings of toric wonderful models for arbitrary building sets, including non well-connected cases.
Findings
Cohomology rings described for all building sets.
Techniques involve blowups of posets and Gr"obner bases.
Applicable to non well-connected toric models.
Abstract
We describe the cohomology ring of toric wonderful models for arbitrary building set, including the case of non well-connected ones. Our techniques are based on blowups of posets, on Gr\"obner basis over rings and admissible functions.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra