A new family of isolated symplectic singularities with trivial local fundamental group-Reference-Cited by-同舟云学术

A new family of isolated symplectic singularities with trivial local fundamental group

Published:2023-01-26 Issue:5 Volume:126 Page:1496-1521
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Bellamy Gwyn¹,Bonnafé Cédric²,Fu Baohua³⁴,Juteau Daniel⁵,Levy Paul⁶,Sommers Eric⁷

Affiliation:

1. The Mathematics and Statistics Building University of Glasgow, University Place Glasgow Scotland

2. IMAG, Université de Montpellier, CNRS Montpellier France

3. AMSS, HLM and MCM, Chinese Academy of Sciences Beijing China

4. School of Mathematical Sciences University of Chinese Academy of Sciences Beijing China

5. LAMFA, Université de Picardie Jules Verne, CNRS Amiens France

6. Department of Mathematics and Statistics Fylde College Lancaster University Lancaster United Kingdom

7. Department of Mathematics and Statistics University of Massachusetts Amherst Massachusetts USA

Abstract

AbstractWe construct a new infinite family of four‐dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three constructions are presented for this family: (1) as singularities in blowups of the quotient of by the dihedral group of order , (2) as singular points of Calogero–Moser spaces associated with dihedral groups of order at equal parameters, and (3) as singularities of a certain Slodowy slice in the ‐fold cover of the nilpotent cone in .

Funder

Agence Nationale de la Recherche

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12513

Reference31 articles.

1. Extension of Holomorphic Maps

2. Symplectic singularities

3. G.Bellamy Generalized Calogero–Moser spaces and rational Cherednik algebras PhD thesis University of Edinburgh 2010.

4. Birational geometry of symplectic quotient singularities

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