Work

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

Year: 2025

Type: article

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.

Source: Archiv der Mathematik

DOI: 10.1007/s00013-025-02143-9

Authors: Gebhard Martin, Réka Wagener

Institution: University of Bonn

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Rheinische Friedrich-Wilhelms-Universität Bonn

OpenAlex ID: W4412461503

FWCI:

Cites: 11

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Related to: 10