On Gizatullin's problem for quartic surfaces of Picard rank 2

In this paper, we determine which automorphisms of general smooth quartic surfaces S ⊂ P 3 of Picard rank 2 are restrictions of Cremona transformations of P 3 .

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Publication Details

Journal
Algebraic geometry
Published
2026-10-28
DOI
https://doi.org/10.14231/ag-2026-025
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Gizatullin's problem for quartic surfaces of Picard rank 2

Sokratis Zikas, Carolina Araujo
2 links
Algebraic geometry
Algebraic Geometry and Number Theory
article

On Gizatullin's problem for quartic surfaces of Picard rank 2

Sokratis Zikas, Carolina Araujo
article en

Abstract

In this paper, we determine which automorphisms of general smooth quartic surfaces S ⊂ P 3 of Picard rank 2 are restrictions of Cremona transformations of P 3 .

Algebraic geometry
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Algebraic Geometry and Number Theory
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On Gizatullin's problem for quartic surfaces of Picard rank 2 — Sokratis Zikas, Carolina Araujo · Algebraic geometry (2026) | TGRS Research Map | TGRS