Gubler, Walter and Soto, Alejandro (2015) CLASSIFICATION OF NORMAL TORIC VARIETIES OVER A VALUATION RING OF RANK ONE. DOCUMENTA MATHEMATICA, 20. pp. 171-198. ISSN 1431-0643,
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SUBVARIETIES; GEOMETRY; HEIGHTS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Jul 2019 09:31 |
| Last Modified: | 31 Jul 2019 09:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6265 |
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