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Rin Sugiyama

  1. Tate conjecture for products of Fermat varieties over finite fields.

    Пнд, 01/23/2012 - 15:01 — SomNambul
    Authors: Rin Sugiyama
    Subjects: Number Theory
    Abstract

    We prove under some assumptions that the Tate conjecture holds for products
    of Fermat varieties of different degrees.

  2. On the kernel of the reciprocity map of simple normal crossing varieties over finite fields.

    Пнд, 11/30/2009 - 16:01 — SomNambul
    Authors: Rin Sugiyama
    Subjects: Number Theory
    Abstract

    In this paper, we study the kernel of the reciprocity map of certain simple
    normal crossing varieties over a finite field and give a example of a simple
    normal crossing surface whose reciprocity map is not injective for any finite
    scalar extension.

Math-arch

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