Work

K‐stable Fano threefolds of rank 2 and degree 28

Year: 2025

Type: article

Abstract: Moduli spaces of Fano varieties have historically been difficult to construct. However, recent work has shown that smooth K‐polystable Fano varieties of fixed dimension and volume can be parametrised by a quasi‐projective moduli space. In this paper, we prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K‐polystable, except for some explicit cases which we describe.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70259

Author: Joseph Malbon

Institution: University of Edinburgh

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W4412950789

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Cites: 29

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Related to: 10