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arXiv · 1303.3038

Combinatorics of affine birational maps

Ilya Karzhemanov
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Abstract

The main object of study of the present paper is the group $\au_n$ of \emph{unimodular automorphisms} of $\com^n$. Taking $\au_n$ as a working example, our intention was to develop an approach (or rather an edifice) which allows one to prove, for instance, the non-simplicity of $\au_n$ for all $n \geq 3$. More systematic and, perhaps, general exposition will appear elsewhere.

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Ilya Karzhemanov. 2013-03-12. Combinatorics of affine birational maps. https://arxiv.org/abs/1303.3038

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