Pierre-Marie Poloni

activity

20062009

most citedInequivalent embeddings of the Koras-Russell cubic threefold

3 citations · 3 across the 3 of their papers we have counts for

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math.AG2009★ 3 cited

Inequivalent embeddings of the Koras-Russell cubic threefold

Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni

The Koras-Russell threefold is the hypersurface X of the complex affine four-space defined by the equation x^2y+z^2+t^3+x=0. It is well-known that X is smooth contractible and rati…

math.AG2008

The Nagata automorphism is shifted linearizable

Stefan Maubach, Pierre-Marie Poloni

A polynomial automorphism $F$ is called {\em shifted linearizable} if there exists a linear map $L$ such that $L F$ is linearizable. We prove that the Nagata automorphism $N:=(X-YΔ-…

math.AG2006

On a class of Danielewski surfaces in affine 3-space

Adrien Dubouloz, Pierre-Marie Poloni

L. Makar-Limanov computed the automorphisms groups of surfaces in $C^{3}$ defined by the equations $x^{n} z - P (y) = 0$ , where $n \geq 1$ and $P (y)$ is a nonzero polynomial. Simi…