Work

Hyperelliptic Gorenstein curves and logarithmic differentials

Year: 2024

Type: article

Abstract: We produce a flexible tool for contracting subcurves of logarithmic hyperelliptic curves, which is local around the subcurve and commutes with arbitrary base-change. As an application, we prove that a hyperelliptic multiscale differential determines a sequence of Gorenstein contractions of the underlying nodal curve, such that each meromorphic piece of the differential descends to generate the dualising bundle of one of the Gorenstein contractions. This is the first piece of evidence for a more general conjecture about limits of meromorphic differentials.

Source: Forum of Mathematics Sigma

DOI: 10.1017/fms.2024.76

Authors: Luca Battistella, Sebastian Bozlee

Institutions: Humboldt-Universität zu Berlin, University of Bologna, Fordham University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,590

OpenAlex ID: W4405652216

FWCI: 1.346

Cites: 56

Cited by: 2

Related to: 10