环缘品种乘积的自同构

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2021-01-10 DOI:10.4310/MRL.2022.v29.n2.a9

Alvaro Liendo, G. Arteche

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引用次数: 5

摘要

摘要。本文给出了任意域上完全环变积的自同构群在其各分量的自同构群中的显式描述。更确切地说，我们证明了，直到同构分量的置换，一个乘积的自同构对应于它的分量的自同构的乘积。我们还用现代语言对Demazure描述任意域上完全环面变异体的自同构群格式的经典结果进行了修正。

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Automorphisms of products of toric varieties

A BSTRACT . We give an explicit description of the automorphism group of a product of complete toric varieties over an arbitrary ﬁeld in terms of the respective automorphism groups of its components. More precisely, we prove that, up to permutation of isomorphic components, an automorphism of a product corresponds to a product of automorphisms of its components. We also reprove, in modern language, the classic result by Demazure describing the group-scheme of automorphisms of a complete toric variety over an arbitrary ﬁeld.

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.