Homogeneous deformations of toric pairs

Abstract

We extend the Altmann--Mavlyutov construction of homogeneous deformations of affine toric varieties to the case of toric pairs $(X,\partial X)$, where $X$ is an affine or projective toric variety and $\partial X$ is its toric boundary. As an application, we generalise a result due to Ilten to the case of Fano toric pairs.

32 pages, 2 figures

References in corpus (2)

• Minkowski Polynomials and Mutations
• Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces

Cited by in corpus (2)

• On deformations of toric Fano varieties
• On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties