Work

Algebraic tori in the complement of quartic surfaces

Year: 2026

Type: article

Abstract: Let be an slc quartic surface. The existence of an embedding implies that has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces for which contains an algebraic torus , and equivalently, the classification of cluster type pairs . Along the way, we give criteria for a log Calabi–Yau pair over a toric variety to be of cluster type.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70427

Authors: Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga

Institutions: University of Basel, Northwestern University, University of California, Los Angeles

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National Science Foundation, European Research Council