有理齐次变异上的反演映射和环面作用

IF 0.5 4区数学 Q3 MATHEMATICS

Geometriae Dedicata Pub Date : 2023-11-29 DOI:10.1007/s10711-023-00866-z

Alberto Franceschini, Luis E. Solá Conde

引用次数: 1

摘要

具有\({{\mathbb {C}}}^*\) -作用的复射影代数变体可以被认为是两族变换的几何对应物。本文从几何上描述了具有\({{\mathbb {C}}}^*\) -作用且无适当各向同性子群的有理齐次变元的双分变换。

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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Inversion maps and torus actions on rational homogeneous varieties

Complex projective algebraic varieties with \({{\mathbb {C}}}^*\)-actions can be thought of as geometric counterparts of birational transformations. In this paper we describe geometrically the birational transformations associated to rational homogeneous varieties endowed with a \({{\mathbb {C}}}^*\)-action with no proper isotropy subgroups.

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来源期刊

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.