2014/12/24 by M. A. Facas Vicente, Kevin Langlois, Vicente, Marta Agustin +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1412.7634
openalex publication_date 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this article is to investigate the intersection cohomology for algebraic varieties with torus action. Given an algebraic torus \mathbbT, one of our result determines the intersection cohomology Betti numbers of any normal projective \mathbbT-variety admitting an algebraic curve as global quotient. The calculation is expressed in terms of a combinatorial description involving a divisorial fan which is the analogous of the defining fan of a toric variety. Our main tool to obtain this computation is a description of the decomposition theorem in this context.