Connected algebraic subgroups of groups of birational transformations not contained in a maximal one

Pascal Fong; Sokratis Zikas

doi:10.5802/crmath.406

Géométrie algébrique

Connected algebraic subgroups of groups of birational transformations not contained in a maximal one

Pascal Fong ¹ ; Sokratis Zikas ¹

¹ Universität Basel, Departement Mathematik und Informatik, Spiegelgasse 1, CH–4051 Basel, Switzerland

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 313-322.

Résumé

We prove that for each $n \geq 2$ , there exist a ruled variety $X$ of dimension $n$ and a connected algebraic subgroup of $Bir (X)$ which is not contained in a maximal one.

Reçu le : 2022-02-11
Révisé le : 2022-04-13
Accepté le : 2022-07-11
Publié le : 2023-01-12

DOI : 10.5802/crmath.406

Affiliations des auteurs :

Pascal Fong ¹ ; Sokratis Zikas ¹

¹ Universität Basel, Departement Mathematik und Informatik, Spiegelgasse 1, CH–4051 Basel, Switzerland

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {Connected algebraic subgroups of groups of birational transformations not contained in a maximal one},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {313--322},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.406},
     language = {en},
}

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Pascal Fong; Sokratis Zikas. Connected algebraic subgroups of groups of birational transformations not contained in a maximal one. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 313-322. doi : 10.5802/crmath.406. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.406/

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