On the topology of rational T-varieties of complexity one

2015/03/20 by Laface, Antonio, Liendo, Alvaro, Moraga, Joaquín
#12M25 #14C15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.06023

Abstract

We generalize classical results about the topology of toric varieties to the case of projective Q-factorial T-varieties of complexity one using the language of divisorial fans. We describe the Hodge-Deligne polynomial in the smooth case, the cohomology ring and the Chow ring in the contraction-free case.

Related

• Non-complete rational T-varieties of complexity one
• Generalized Minkowski weights and Chow rings of T-varieties
• Cohen-Macaulay Du Bois singularities with a torus action of complexity\n one
• Classification of normal toric varieties over a valuation ring of rank\n one
• Toricity in families of Fano varieties