The wild McKay correspondence and \(p\)-adic measures

DOI10.4171/JEMS/751zbMath1423.14107arXiv1412.5260OpenAlexW2963365627MaRDI QIDQ1687385

Takehiko Yasuda

Publication date: 29 December 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5260

zbMATH Keywords

McKay correspondence\(p\)-adic measureswild quotient singularitiesmass formulasstringy invariants

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Varieties over finite and local fields (11G25) Ramification and extension theory (11S15) McKay correspondence (14E16)

Related Items (6)

The wild McKay correspondence via motivic integration ⋮ Moduli of formal torsors. II ⋮ Open problems in the wild McKay correspondence and related fields ⋮ Mirror symmetry for parabolic Higgs bundles via \(p\)-adic integration ⋮ Geometric stabilisation via $p$-adic integration ⋮ Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration

Cites Work

• Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
• Frobenius splitting methods in geometry and representation theory
• On the topology of birational minimal models
• Mass formulas for local Galois representations and quotient singularities. II: Dualities and resolution of singularities
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• WILDER MCKAY CORRESPONDENCES
• The -cyclic McKay correspondence via motivic integration
• Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions
• On the Degree of Igusa's Local Zeta Function
• Stringy Hodge numbers and p-adic Hodge theory
• Mass Formulas for Local Galois Representations (with an Appendix by Daniel Gulotta)
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
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