Classification of normal toric varieties over a valuation ring of rank one (Q2339185)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of normal toric varieties over a valuation ring of rank one |
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Classification of normal toric varieties over a valuation ring of rank one (English)
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31 March 2015
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Summary: Normal toric varieties over a field or a discrete valuation ring are classified by rational polyhedral fans. We generalize this classification to normal toric varieties over an arbitrary valuation ring of rank one. The proof is based on a generalization of Sumihiro's theorem to this non-noetherian setting. These toric varieties play an important role for tropicalizations.
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