منابع مشابه
KLinneth decompositions for quotient varieties
In this paper we discuss Kfinneth decompositions for finite quotients of several classes of smooth projective varieties. The main result is the existence o f an explicit (and readily computable) Chow-Kiinneth decomposition in the sense o f Murre with several pleasant properties for finite quotients of abelian varieties. This applies in particular to symmetric products of abelian varieties and a...
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In an earlier paper, the authors constructed an explicit Chow Kunneth decomposition for quotient varieties of Abelian varieties by actions of finite groups. In the present paper, the authors extend the techniques there to obtain an explicit Lefschetz decomposition for such quotient varieties for the Chow-Kunneth projectors constructed there.
متن کاملKünneth Decompositions for Quotient Varieties
In this paper we discuss Künneth decompositions for finite quotients of several classes of smooth projective varieties. The main result is the existence of an explicit (and readily computable) Chow-Künneth decomposition in the sense of Murre with several pleasant properties for finite quotients of abelian varieties. This applies in particular to symmetric products of abelian varieties and also ...
متن کاملThe Geometry and Topology of Quotient Varieties
Let X be a nonsingular projective variety with an algebraic action of a complex torus (c*)n. We study in this thesis the symplectic quotients (reduced phase spaces) and the quotients in a more general sense. As a part of our program, we have developed a general procedure for computing the intersection homology groups of the quotient varieties. In particular, we obtained an explicit inductive fo...
متن کاملNondegeneracy for Quotient Varieties under Finite Group Actions
Let V be a finite-dimensional representation of a finite group G of order n over a field k. Then by a classical theorem of Hermann Weyl [5] on polarizations one obtains a nice generating set for the invariant ring (SymV ) consisting of er(f), r = 1, 2, . . . , n, f ∈ V ∗ where er(f) denotes the r-th elementary symmetric polynomial in σ.f, σ ∈ G. Also, for any point x ∈ P(V ) there is a G-invari...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1989
ISSN: 0001-8708
DOI: 10.1016/0001-8708(89)90007-8