Real forms of some Gizatullin surfaces and Koras-Russell threefolds
Blanc, Jérémy (Universität Basel. Departement Mathematik und Informatik)
Bot, Anna (Universität Basel. Departement Mathematik und Informatik)
Poloni, Pierre-Marie (Universität Basel. Departement Mathematik und Informatik)

Data:	2023
Resum:	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 l = 0, all admit exactly one real form up to isomorphism.
Nota:	Altres ajuts: The first two authors acknowledge support by the Swiss National Science Foundation grant "Geometrically ruled surfaces" 200020-192217.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Real forms ; Gizatullin surfaces ; Danielewski surfaces ; Koras-russell threefolds ; Group cohomology
Publicat a:	Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 851-890 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/418522
DOI: 10.5565/PUBLMAT6722314

40 p, 527.5 KB

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