For wild-by-tame split metacyclic groups, the stringy Euler number of the quotient depends on the representation and is not always equal to the number of conjugacy classes, unlike the classical McKay case.
Malle’s conjecture and Brauer groups of stacks
6 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 6representative citing papers
Neutral faithful representations of finite groups are fully classified in dimension ≤3, with a general neutrality criterion for abelian groups and a normalizer theory for gerbe morphisms that depends only on geometric type.
The étale Brauer-Manin obstruction is the only obstruction to strong approximation for the classifying stack BG of a linear algebraic group G over a number field k.
Establishes group presentations for quotients of G_∅^T(K) in Γ-extensions and derives a random model predicting the distribution of these Galois groups over arbitrary global base fields Q.
Proves log Manin's conjecture for Campana rational curves and A1-curves on split toric varieties by combining Cox-ring moduli descriptions with Batyrev-style counting.
Survey of the homological sieve and its applications to Manin's conjecture.
citing papers explorer
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The McKay correspondence and local heights for wild-by-tame split metacyclic groups
For wild-by-tame split metacyclic groups, the stringy Euler number of the quotient depends on the representation and is not always equal to the number of conjugacy classes, unlike the classical McKay case.
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Neutral representations in dimension $\leq 3$ and fields of moduli
Neutral faithful representations of finite groups are fully classified in dimension ≤3, with a general neutrality criterion for abelian groups and a normalizer theory for gerbe morphisms that depends only on geometric type.
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The \'{e}tale Brauer-Manin obstruction for classifying stacks
The étale Brauer-Manin obstruction is the only obstruction to strong approximation for the classifying stack BG of a linear algebraic group G over a number field k.
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Presentations of Galois groups of unramified extensions of global fields and its predicted distribution
Establishes group presentations for quotients of G_∅^T(K) in Γ-extensions and derives a random model predicting the distribution of these Galois groups over arbitrary global base fields Q.
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Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
Proves log Manin's conjecture for Campana rational curves and A1-curves on split toric varieties by combining Cox-ring moduli descriptions with Batyrev-style counting.
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Homological sieve and Manin's conjecture
Survey of the homological sieve and its applications to Manin's conjecture.