2005/03/23 by Markus Perling, Perling, Markus
Mathematics · #14M25 #18F20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #math.AG #math.CO #msc:14M25 #msc:18F20
paper · pdf · doi:10.48550/arxiv.math/0503501
preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig
arxiv created 2005/03/23 · openalex publication_date 2005/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we construct global resolutions for general coherent equivariant sheaves over toric varieties. For this, we use the framework of sheaves over posets. We develop a notion of gluing of posets and of sheaves over posets, which we apply to construct global resolutions for equivariant sheaves. Our constructions give a natural correspondence between resolutions for reflexive equivariant sheaves and free resolutions of vector space arrangements.