Classification of non-F-split del Pezzo surfaces of degree 1

Abstract Using Fedder’s criterion, we classify all non- F -split del Pezzo surfaces of degree 1. We give a necessary and sufficient criterion for the F -splitting of such del Pezzo surfaces in terms of their anti-canonical system.

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Publication Details

Journal
Archiv der Mathematik
Published
2025-07-16
DOI
https://doi.org/10.1007/s00013-025-02143-9
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Classification of non-F-split del Pezzo surfaces of degree 1

Gebhard Martin, Réka Wagener
Archiv der Mathematik
Algebraic Geometry and Number Theory
article

Classification of non-F-split del Pezzo surfaces of degree 1

Gebhard Martin, Réka Wagener
article en

Abstract

Abstract Using Fedder’s criterion, we classify all non- F -split del Pezzo surfaces of degree 1. We give a necessary and sufficient criterion for the F -splitting of such del Pezzo surfaces in terms of their anti-canonical system.

Archiv der MathematikVol. 125(3)
University of Bonn (DE)
Rheinische Friedrich-Wilhelms-Universität Bonn
Openalex Percentile: Top 77%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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