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R. Fioresi

  1. On the construction of Chevalley Supergroups.

    Thu, 08/12/2010 - 15:01 — SomNambul
    Authors: R. Fioresi, F. Gavarini
    Subjects: Rings and Algebras
    Abstract

    We give a description of the construction of Chevalley supergroups, providing
    some explanatory examples. We avoid the discussion of the $A(1,1)$, $P(3)$ and
    $Q(n)$ cases, for which our construction holds, but the exposition becomes more
    complicated. We shall not in general provide complete proofs for our
    statements, instead we will make an effort to convey the key ideas underlying
    our construction. A fully detailed account of our work is scheduled to appear
    later.

  2. The local functors of points of Supermanifolds.

    Fri, 08/14/2009 - 21:09 — SomNambul
    Authors: L. Balduzzi, C. Carmeli, R. Fioresi
    Subjects: Rings and Algebras
    Abstract

    We study the local functor of points (which we call the Weil-Berezin functor)
    for smooth supermanifolds, providing a characterization, representability
    theorems and applications to differential calculus.

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