Poincaré Duality of Wonderful Compactifications and Tautological Rings
نویسندگان
چکیده
منابع مشابه
Wonderful Compactifications of Arrangements of Subvarieties
We define the wonderful compactification of an arrangement of subvarieties. Given a complex nonsingular algebraic variety Y and certain collection G of subvarieties of Y , the wonderful compactification YG can be constructed by a sequence of blow-ups of Y along the subvarieties of the arrangement. This generalizes the Fulton-MacPherson configuration spaces and the wonderful models given by De C...
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The purpose of this article is to study the Chow groups and Chow motives of the so-called wonderful compactifications of an arrangement of subvarieties, in particular the Fulton-MacPherson configuration spaces. All the varieties in the paper are over an algebraically closed field. Let Y be a nonsingular quasi-projective variety. Let S be an arrangement of subvarieties of Y (cf. Definition 2.2)....
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this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولDeligne-lusztig Duality and Wonderful Compactification
We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne-Lusztig (or AlvisCurtis) duality for p-adic groups to homological duality. This provides a new way to introduce an involution on the set of irreducible representations of the group, which has been earlier defined by A. Zelevinsky for G = GL(n) by A.-M. Aubert in general. As a byproduct we des...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2015
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnv296