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arXiv · 1212.5698

Some remarks about the Zariski topology of the Cremona group

Ivan Pan·Alvaro Rittatore
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Abstract

For an algebraic variety $X$ we study the behavior of algebraic morphisms from an algebraic variety to the group $\bir(X)$ of birational maps of $X$ and obtain, as application, some insight about the relationship between the so-called Zariski topology of $\bir(X)$ and the algebraic structure of this group, where $X$ is a rational variety.

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Ivan Pan, Alvaro Rittatore. 2012-12-22. Some remarks about the Zariski topology of the Cremona group. https://arxiv.org/abs/1212.5698

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