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arXiv · 1403.1197

Cremona maps of de Jonqui\`eres type

Ivan Pan·Aron Simis
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Abstract

This paper is concerned with suitable generalizations of a plane de Jonqui\`eres map to higher dimensional space $\mathbb{P}^n$ with $n\geq 3$. For each given point of $\mathbb{P}^n$ there is a subgroup of the entire Cremona group of dimension $n$ consisting of such maps. One studies both geometric and group-theoretical properties of this notion. In the case where $n=3$ one describes an explicit set of generators of the group and gives a homological characterization of a basic subgroup thereof.

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Ivan Pan, Aron Simis. 2014-03-05. Cremona maps of de Jonqui\`eres type. https://doi.org/10.4153/cjm-2014-037-3

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