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Jean Fasel

  1. Stably free modules over smooth affine threefolds.

    Thu, 11/19/2009 - 16:01 — SomNambul
    Authors: Jean Fasel
    Subjects: Commutative Algebra
    Abstract

    We prove that the stably free modules over a smooth affine threefold over an
    algebraically closed field of characteristic different from 2 are free.

  2. Some remarks on orbit sets of unimodular rows.

    Wed, 11/18/2009 - 16:01 — SomNambul
    Authors: Jean Fasel
    Subjects: Commutative Algebra
    Abstract

    We give a cohomological interpretation of orbit sets of unimodular rows of
    length d+1 over smooth algebras of Krull dimension d.

  3. Projective modules over the real algebraic sphere of dimension 3.

    Wed, 11/18/2009 - 16:01 — SomNambul
    Authors: Jean Fasel
    Subjects: Commutative Algebra
    Abstract

    We show that all the projective modules over the coordinate ring of the real
    algebraic sphere of dimension 3 are free

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