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Luis Arenas-Carmona

  1. Lattices and Cohomology.

    Пнд, 09/20/2010 - 15:01 — SomNambul
    Authors: Luis Arenas-Carmona
    Subjects: Number Theory
    Abstract

    We give an interpretation of the cohomology of an arithmetically defined
    group as a set of equivalence classes of lattices. We use this interpretation
    to give a simpler proof of the connection established by J. Rohlfs between
    genus and cohomology.

  2. Spinor class fields for sheaves of lattices.

    Пнд, 09/20/2010 - 15:01 — SomNambul
    Authors: Luis Arenas-Carmona
    Subjects: Number Theory
    Abstract

    We extend the theory of spinor class field and representation fields
    previously defined for lattices over the ring of integers of a number field to
    both, lattices over the coordinate ring of a smooth irreducible affine curve
    over a finite field, and sheaves of lattices over the structure sheaf of an
    irreducible smooth projective curve over a finite field.

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