Rights statement: 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.
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A new family of isolated symplectic singularities with trivial local fundamental group
AU - Bellamy, Gwyn
AU - Bonnafé, Cédric
AU - Fu, Baohua
AU - Juteau, Daniel
AU - Levy, Paul
AU - Sommers, Eric
N1 - 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.
PY - 2023/5/31
Y1 - 2023/5/31
N2 - 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.).
AB - 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.).
KW - General Mathematics
U2 - 10.1112/plms.12513
DO - 10.1112/plms.12513
M3 - Journal article
VL - 126
SP - 1496
EP - 1521
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 0024-6115
IS - 5
ER -