Rainer Weissauer

  1. On Subvarieties of Abelian Varieties with degenerate Gauss mapping.

    Authors: Rainer Weissauer
    Subjects: Algebraic Geometry
    Abstract

    We show that for an irreducible subvariety Y of an abelian variety X the
    Gauss mapping, from the conormal bundle of $Y$ to the dual of the tangent space
    of $X$ at the origin, is not dominant if and only if Y is degenerate in the
    sense that there exists a nontrivial abelian subvariety A of X such that A+Y=Y
    holds

  2. The trace of Hecke operators on the space of classical holomorphic Siegel modular forms of genus two.

    Authors: Rainer Weissauer
    Subjects: Number Theory
    Abstract

    We prove multiplicity one for vector valued holomorphic Siegel modular forms
    of weights greater or equal to 3 and the full Siegel modular group and give a
    trace formula for the action of the Hecke operators T(p) in the regular cases.

  3. The trace of Hecke operators on the space of classical holomorphic Siegel modular forms of genus two.

    Authors: Rainer Weissauer
    Subjects: Number Theory
    Abstract

    We prove multiplicity one for vector valued holomorphic Siegel modular forms
    of weights greater or equal to 3 and the full Siegel modular group and give a
    trace formula for the action of the Hecke operators T(p) in the regular cases.

  4. Semisimple algebraic tensor categories.

    Authors: Rainer Weissauer
    Subjects: Category Theory
    Abstract

    A semisimple algebraic tensor category over an algebraically closed field k
    of characteristic zero is the representation category of all finite dimensional
    twisted super representations of an affine reductive supergroup G over k. Such
    a supergroup is reductive if and only if its connected component is reductive.
    The connected component is reductive if and only if the Lie superalgebra
    divided by its center is a product of simple Lie algebras of classical type and
    Lie superalgebras spo(1,2r) of the orthosymplectic types BC_r.

  5. Semisimple algebraic tensor categories.

    Authors: Rainer Weissauer
    Subjects: Category Theory
    Abstract

    A semisimple algebraic tensor category over an algebraically closed field k
    of characteristic zero is the representation category of all finite dimensional
    twisted super representations of an affine reductive supergroup G over k. Such
    a supergroup is reductive if and only if its connected component is reductive.
    The connected component is reductive if and only if the Lie superalgebra
    divided by its center is a product of simple Lie algebras of classical type and
    Lie superalgebras spo(1,2r) of the orthosymplectic types BC_r.

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