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arXiv · 1408.4352

The Cremona group is compactly presentable

Susana Zimmermann
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Abstract

This article shows that the Cremona group is compactly presentable. To prove this we show that it is a generalised amalgamated product of three of its algebraic subgroups (automorphisms of the plane and Hirzebruch surfaces) divided by one relation.

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Susana Zimmermann. 2014-08-19. The Cremona group is compactly presentable. https://doi.org/10.1112/jlms%2Fjdv054

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