Work

Enriques surfaces of non-degeneracy 3

Year: 2024

Type: article

Abstract: We classify all non-extendable 3-sequences of half-fibers on Enriques surfaces. If the characteristic is different from 2, we prove in particular that every Enriques surface admits a 4-sequence, which implies that every Enriques surface is the minimal desingularization of an Enriques sextic, and that every Enriques surface is birational to a Castelnuovo quintic.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1533

Authors: Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani

Institutions: University of Bonn, Leibniz University Hannover, University of Stuttgart

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4283836773

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