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Homogeneous deformations of toric pairs

Published 17 Jan 2018 in math.AG | (1801.05732v2)

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.

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