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arXiv · 2108.12389

Real forms of some Gizatullin surfaces and Koras-Russell threefolds

Jérémy Blanc·Anna Bot·Pierre-Marie Poloni
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Abstract

We describe the real forms of Gizatullin surfaces of the form $xy=p(z)$ and of Koras-Russell threefolds of the first kind. The former admit zero, two, three, four or six isomorphism classes of real forms, depending on the degree and the symmetries of the polynomial~$p$. The latter, which are threefolds given by an equation of the form $x^dy+z^k+x+t^\ell=0$, all admit exactly one real form up to isomorphism.

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Jérémy Blanc, Anna Bot, Pierre-Marie Poloni. 2021-08-27. Real forms of some Gizatullin surfaces and Koras-Russell threefolds. https://arxiv.org/abs/2108.12389

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