Work

On K‐stability of some del Pezzo surfaces of Fano index 2

Year: 2022

Type: article

Abstract: For every integer a ⩾ 2 $a \geqslant 2$ , we relate the K-stability of hypersurfaces in the weighted projective space P ( 1 , 1 , a , a ) $\mathbb {P}(1,1,a,a)$ of degree 2 a $2a$ with the GIT stability of binary forms of degree 2 a $2a$ . Moreover, we prove that such a hypersurface is K-polystable and not K-stable if it is quasi-smooth.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.12581

Authors: Yuchen Liu, Andrea Petracci

Institutions: Northwestern University, University of Bologna

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: K-Stability, Moduli Spaces, and Singularities