Work

$1$-nodal Fano threefolds with Picard number $1$

Year: 2025

Type: article

Abstract: We classify all $1$-nodal degenerations of smooth Fano threefolds with Picard number $1$ (both non-factorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties.

Source: Izvestiya Mathematics

DOI: 10.4213/im9585e

Authors: Alexander Gennad'evich Kuznetsov, Yuri Gennadievich Prokhorov

Institutions: National Research University Higher School of Economics, Steklov Mathematical Institute

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Center for Theoretical Sciences, National Research University Higher School of Economics

OpenAlex ID: W4411206240

FWCI: 3.729

Cites: 61

Cited by: 2

Related to: 10