The -cyclic McKay correspondence via motivic integration

DOI10.1112/S0010437X13007781zbMath1310.14023arXiv1208.0132MaRDI QIDQ2874606

Takehiko Yasuda

Publication date: 8 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0132

zbMATH Keywords

positive characteristicMcKay correspondencestringy motivic integration

Mathematics Subject Classification ID

McKay correspondence (14E16)

Related Items (13)

Mass formulas for local Galois representations and quotient singularities. II: Dualities and resolution of singularities ⋮ The wild McKay correspondence via motivic integration ⋮ On convergence of stringy motives of wild pⁿ-cyclic quotient singularities ⋮ The wild McKay correspondence and \(p\)-adic measures ⋮ Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties ⋮ Open problems in the wild McKay correspondence and related fields ⋮ Crepant resolution of \(\mathbf{A}^4 /A_4\) in characteristic 2 ⋮ Moduli of formal torsors ⋮ Modular quotient varieties and singularities by the cyclic group of order 2p ⋮ Non-Cohen-Macaulay canonical singularities ⋮ The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay ⋮ The wild McKay correspondence for cyclic groups of prime power order ⋮ Pathological quotient singularities in characteristic three which are not log canonical

Cites Work

• Unnamed Item
• The Hilbert scheme of points for supersingular abelian surfaces
• Frobenius action on \(\ell\)-adic Chen-Ruan cohomology
• Motivic integration over Deligne-Mumford stacks
• A valuation criterion for normal basis generators in equal positive characteristic
• Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
• Germs of arcs on singular algebraic varieties and motivic integration
• Homological dimension of skew group rings and crossed products
• Vertex algebras and the formal loop space
• Flops of \(G\)-Hilb and equivalences of derived categories by variation of GIT quotient
• Pure subrings of regular local rings, endomorphism rings and Frobenius morphisms
• Three dimensional canonical singularities in codimension two in positive characteristic
• Rational singularities, with applications to algebraic surfaces and unique factorization
• The McKay correspondence as an equivalence of derived categories
• Moduli of p-covers of curves
• Stringy invariants of normal surfaces
• Twisted jets, motivic measures and orbifold cohomology
• Intégration motivique sur les schémas formels

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