Work

Double covers of smooth quadric threefolds with Artin–Mumford obstructions to rationality

Year: 2024

Type: article

Abstract: We study obstructions to rationality on a nodal Fano threefold that is a double cover of a smooth quadric threefold ramified over an intersection with a quartic threefold in . We prove that if admits an Artin–Mumford obstruction to rationality then it lies in one of three explicitly described families. Conversely, a general element of any of these families admits an Artin–Mumford obstruction to rationality. Only one of these three families was known before; other two families of nodal Fano threefolds with obstructions to rationality are new.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70028

Author: Alexandra Kuznetsova

Institutions: Russian Academy of Sciences, Steklov Mathematical Institute

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G2563333678