论文标题

反转图和圆环对合理均匀品种的行动

Inversion maps and torus actions on rational homogeneous varieties

论文作者

Franceschini, Alberto, Conde, Luis E. Solá

论文摘要

具有$ \ Mathbb {C}^*$的复杂投影代数品种可以将动作视为Birational Trunportations的几何对应物。在本文中,我们以几何形式描述了与有理均质品种相关的异性转化,并具有$ \ mathbb {c}^*$ - 没有适当的同型亚组的动作。

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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