Intersection cohomology of Drinfeld‚s compactifications

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Local Intersection Cohomology of BailyBorel Compactifications

The local intersection cohomology of a point in the Baily–Borel compactification (of a Hermitian locally symmetric space) is shown to be canonically isomorphic to the weighted cohomology of a certain linear locally symmetric space (an arithmetic quotient of the associated self-adjoint homogeneous cone). Explicit computations are given for the symplectic group in four variables. Mathematics Subj...

متن کامل

Intersection cohomology of B ×B-orbit closures in group compactifications

An adjoint semi-simple group G has a “wonderful” compactification X, which is a smooth projective variety, containing G as an open subvariety. X is acted upon by G×G and, B denoting a Borel subgroup of G, the group B × B has finitely many orbits in X. The main results of this paper concern the intersection cohomology of the closures of the B × B-orbits. Examples of such closures are the “large ...

متن کامل

Intersection cohomology of reductive varieties

We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.

متن کامل

Hyperbolic Localization of Intersection Cohomology

For a normal variety X defined over an algebraically closed field with an action of the multiplicative group T = Gm, we consider the “hyperbolic localization” functor D(X)→ D(X ), which localizes using closed supports in the directions flowing into the fixed points, and compact supports in the directions flowing out. We show that the hyperbolic localization of the intersection cohomology sheaf ...

متن کامل

The hypertoric intersection cohomology ring

We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ring structure is induced by a ring structure on the equivariant intersection cohomology sheaf in the equivariant derived category. The computati...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Selecta Mathematica

سال: 2002

ISSN: 1022-1824,1420-9020

DOI: 10.1007/s00029-002-8111-5