Computation of the vector space \(T^ 1\) for affine toric varieties (Q1336789)
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scientific article; zbMATH DE number 681806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the vector space \(T^ 1\) for affine toric varieties |
scientific article; zbMATH DE number 681806 |
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Computation of the vector space \(T^ 1\) for affine toric varieties (English)
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27 November 1995
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In the present paper, the vector space \(T^1\) of first order infinitesimal deformations is computed for affine toric varieties \(X_\sigma\). The result is given by two different formulas which use combinatorial data of the given cone \(\sigma\) only. One of these formulas suggests that there is a relation between deformations of affine toric varieties on the one hand and splitting of certain polyhedra (obtained by affine cross cuts of the given cone) into a Minkowski sum on the other hand. As an application, the result is used to investigate when three-dimensional affine toric varieties are rigid.
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first order infinitesimal deformations of affine toric varieties
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threefold
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