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, ∂ X), where X is an affine or projective toric variety and ∂ X is its toric boundary. As an application, we generalise a result due to Ilten to the case of Fano toric pairs.
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