Smooth complex projective rational surfaces with infinitely many real forms

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-06-10 DOI:10.1515/crelle-2022-0087

T. Dinh, K. Oguiso, Xun Yu

引用次数: 6

Abstract

Abstract We construct a smooth complex projective rational surface with infinitely many mutually non-isomorphic real forms. This gives the first definite answer to a long-standing open question if a smooth complex projective rational surface has only finitely many non-isomorphic real forms or not.

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具有无穷多个实形式的光滑复射影有理曲面

构造了一个具有无穷多个相互非同构实形的光滑复射影有理曲面。这首次明确地回答了一个长期悬而未决的问题，即光滑复射影有理曲面是否只有有限多个非同构实形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.