Parametrizations of toric varieties over any field
| dc.contributor.author | Katsabekis, A. | en |
| dc.contributor.author | Thoma, A. | en |
| dc.date.accessioned | 2015-11-24T17:27:30Z | |
| dc.date.available | 2015-11-24T17:27:30Z | |
| dc.identifier.issn | 0021-8693 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13392 | |
| dc.rights | Default Licence | - |
| dc.subject | toric sets | en |
| dc.subject | toric varieties | en |
| dc.subject | integral matrices | en |
| dc.subject | parametrization | en |
| dc.title | Parametrizations of toric varieties over any field | en |
| heal.abstract | The columns of an integral matrix D give rise to the toric variety V-K (I-D) and also provide a paranietrization of a subset of V-K(I-D), the so-called toric set Gamma(K)(D). We completely determine the toric set Gamma(K)(D) over any field. We provide conditions under which V-K (I-D) is fully parametrized by the columns of D, that means Gamma(K) (D) = V-K (I-D). In particular, we prove that normal toric varieties over any field are always fully parametrized by the columns of an appropriate matrix. (c) 2006 Elsevier Inc. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.jalgebra.2006.08.016 | - |
| heal.identifier.secondary | <Go to ISI>://000244704100018 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0021869306005540/1-s2.0-S0021869306005540-main.pdf?_tid=63b39bf141fb29085279e46661cf8d8c&acdnat=1338462004_fa24db8df3dcfcab4ea61e3e1153a589 | - |
| heal.journalName | Journal of Algebra | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2007 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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