A trace formula for the distribution of rational G-orbits in ramified covers , adapted to representation stability

  • Nir Gadish
  • Published 2017


A standard observation in algebraic geometry and number theory is that a ramified cover of an algebraic variety X̃ → X over a finite field Fq furnishes the rational points x ∈ X(Fq) with additional arithmetic structure: the Frobenius action on the fiber over x. For example, in the case of the Vieta cover of polynomials over Fq this structure describes a… (More)


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