Geometrically rational real conic bundles and very transitive actions

Author:

Blanc Jérémy,Mangolte Frédéric

Abstract

AbstractIn this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference22 articles.

1. Sulla connessione delle superfizie razionali reali;Comessatti;Ann. Math.,1914

2. Sous-Groupes Algébriques du Groupe de Cremona

3. Fondamenti per la geometria sopra le suerficie razionali dal punto di vista reale

4. Su una congettura di Nash;Tognoli;Ann. Sc. Norm. Super. Pisa (3),1973

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Coxeter algebraic varieties;Mathematische Semesterberichte;2018-05-28

2. Infinite transitivity and special automorphisms;Arkiv för Matematik;2018

3. Approximating curves on real rational surfaces;Journal of Algebraic Geometry;2016-03-28

4. Fonctions régulues;Journal für die reine und angewandte Mathematik;2015-01-10

5. Cremona Groups of Real Surfaces;Springer Proceedings in Mathematics & Statistics;2014

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3