Work

Singularities of base loci on abelian varieties

Year: 2026

Type: article

Abstract: We prove that the log canonical threshold of the base ideal of a complete linear system on a complex abelian variety is \ge 1 , and that equality holds if and only if the base locus has divisorial components. Consequently, the same assertions hold for the ideal of the intersection of translates of theta divisors by the points of a finite subgroup.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1088

Author: Giuseppe Pareschi

Institution: University of Rome Tor Vergata

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Roma Tor Vergata, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G490430286, G5245466801