Deforming Stanley-Reisner schemes
Klaus Altmann, Jan Arthur Christophersen
TL;DR
This paper investigates the deformation properties of projective Stanley-Reisner schemes linked to combinatorial manifolds, providing detailed descriptions of their first order deformations and obstructions, and constructing versal base spaces for specific surfaces.
Contribution
It offers new insights into the deformation theory of Stanley-Reisner schemes, including explicit descriptions and versal base spaces for certain cases.
Findings
Detailed descriptions of first order deformations.
Obstruction spaces characterized.
Versal base spaces constructed for some Stanley-Reisner surfaces.
Abstract
We study the deformation theory of projective Stanley-Reisner schemes associated to combinatorial manifolds. We achieve detailed descriptions of first order deformations and obstruction spaces. Versal base spaces are given for certain Stanley-Reisner surfaces.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Algebraic Geometry and Number Theory