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

Bellamy, Gwyn and Bonnafé, Cédric and Fu, Baohua and Juteau, Daniel and Levy, Paul and Sommers, Eric (2023) A new family of isolated symplectic singularities with trivial local fundamental group. Proceedings of the London Mathematical Society, 126 (5). pp. 1496-1521. ISSN 0024-6115

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Abstract

We 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 (Formula presented.) by the dihedral group of order (Formula presented.), (2) as singular points of Calogero–Moser spaces associated with dihedral groups of order (Formula presented.) at equal parameters, and (3) as singularities of a certain Slodowy slice in the (Formula presented.) -fold cover of the nilpotent cone in (Formula presented.).

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the London Mathematical Society

Additional Information:

This is the peer reviewed version of the following article: Bellamy, G., Bonnafé, C., Fu, B., Juteau, D., Levy, P. and Sommers, E. (2023), A new family of isolated symplectic singularities with trivial local fundamental group. Proc. London Math. Soc., 126: 1496-1521. https://doi.org/10.1112/plms.12513 which has been published in final form at https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/plms.12513 This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? general mathematicsgeneral mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

186783

Deposited By:

ep_importer_pure

Deposited On:

16 Feb 2023 15:30

Refereed?:

Yes

Published?:

Published

Last Modified:

26 Jan 2025 03:40

URI:

https://eprints.lancs.ac.uk/id/eprint/186783