Parametrizations of toric varieties over any field
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Date
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Katsabekis, A.
Thoma, A.
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Elsevier
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peer reviewed
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Journal of Algebra
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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.
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Keywords
toric sets, toric varieties, integral matrices, parametrization
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<Go to ISI>://000244704100018
http://ac.els-cdn.com/S0021869306005540/1-s2.0-S0021869306005540-main.pdf?_tid=63b39bf141fb29085279e46661cf8d8c&acdnat=1338462004_fa24db8df3dcfcab4ea61e3e1153a589
http://ac.els-cdn.com/S0021869306005540/1-s2.0-S0021869306005540-main.pdf?_tid=63b39bf141fb29085279e46661cf8d8c&acdnat=1338462004_fa24db8df3dcfcab4ea61e3e1153a589
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών