Contraction images of toric varieties

2022/08/02 by Tanaka, Hiromu
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.01454

Abstract

Let f:X → Y be a proper morphism of normal varieties with f_*O_X = O_Y. If X is toric, then Y is toric and f is a toric morphism for some toric structures on X and Y.

Related

• The contraction morphism between maps and quasimaps to toric varieties
• Contractible classes in toric varieties
• Equivariant completions of toric contraction morphisms
• A geometric characterization of toric singularities
• Lifting of morphisms to quotient presentations