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Automorphism group of a toric variety

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arxiv 1809.09070 v1 pith:B6AUQLOZ submitted 2018-09-24 math.AG

M.T Sancho , J.P Moreno , Carlos Sancho This is my paper · ORCID
classification math.AG
keywords groupsgroupadditiveautomorphismproductprovequotienttoric
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abstract

We calculate the automorphism group of a complete toric variety $X$ with torus $T_M$. We prove that the radical unipotent of $Aut_k^0X$ is a semidirect product of additive groups, the reductive part is a quotient of a product of lineal groups and we give the action of linear groups on the additive groups. We also prove that $Aut_kX/Aut_k^0X$ is a quotient of the group of automorphisms of $M$ leaving invariant the fan.

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  1. Smoothing Gorenstein toric Fano 3-folds

    math.AG 2024-12 accept novelty 8.0 of 10

    Admissible Minkowski decomposition data on a 3D reflexive polytope produce a smoothing of the associated Gorenstein toric Fano 3-fold and an explicit Betti number recipe.

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