On Gizatullin's Problem for quartic surfaces of Picard rank $2$

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Hauptverfasser: Araujo, Carolina, Paiva, Daniela, Zikas, Sokratis
Format: Preprint
Veröffentlicht: 2024
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author Araujo, Carolina
Paiva, Daniela
Zikas, Sokratis
author_facet Araujo, Carolina
Paiva, Daniela
Zikas, Sokratis
contents In this paper we determine which automorphisms of general smooth quartic surfaces $S\subset \mathbb{P}^3$ of Picard rank $2$ are restrictions of Cremona transformations of $\mathbb{P}^3$.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08415
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Gizatullin's Problem for quartic surfaces of Picard rank $2$
Araujo, Carolina
Paiva, Daniela
Zikas, Sokratis
Algebraic Geometry
14E07, 14J28 (Primary) 14E30, 14E05, 14J50 (Secondary)
In this paper we determine which automorphisms of general smooth quartic surfaces $S\subset \mathbb{P}^3$ of Picard rank $2$ are restrictions of Cremona transformations of $\mathbb{P}^3$.
title On Gizatullin's Problem for quartic surfaces of Picard rank $2$
topic Algebraic Geometry
14E07, 14J28 (Primary) 14E30, 14E05, 14J50 (Secondary)
url https://arxiv.org/abs/2410.08415