Work

Moduli of G-constellations and crepant resolutions II: The Craw–Ishii conjecture

Year: 2025

Type: article

Abstract: For any given finite subgroup G⊂SL3(C), we show that every projective crepant resolution X of the quotient variety C3∕G is isomorphic to the moduli space of θ-stable G-constellations for a generic stability condition θ, as conjectured by Craw and Ishii. We also show that generators of the Cox ring of X can be obtained from semi-invariants for representations of the McKay quiver of G.

Source: Duke Mathematical Journal

DOI: 10.1215/00127094-2024-0028

Author: Ryo Yamagishi

Institution: University of Bath

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Leverhulme Trust, Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Awards: G2941313059, Research on holomorphic symplectic varieties with singularities