Chow rings of excellent quadrics
نویسندگان
چکیده
منابع مشابه
Chow groups of quadrics and index reduction formula
We show that the Chow group Ch of a non-singular projective quadric has no torsion if dimension of the quadric is greater than 10 (while a non-trivial torsion appears for a certain 10-dimensional quadric over a suitable field). We apply the same method (based on an index reduction formula) to Ch too and show that it is torsionfree if dimension of the quadric is greater than 22. Let F be a field...
متن کاملThe Equivariant Chow Rings Of Quot Schemes
We give a presentation for the (integral) torus-equivariant Chow ring of the quot scheme, a smooth compactification of the space of rational curves of degree d in the Grassmannian. For this presentation, we refine Evain’s extension of the method of Goresky, Kottwitz, and MacPherson to express the torus-equivariant Chow ring in terms of the torus-fixed points and explicit relations coming from t...
متن کاملChow Rings of Matroids and Atomistic Lattices
After Feichner and Yuzvinsky introduced the Chow ring associated to ranked atomistic lattices in 2003, little study of them was made before Adiprisito, Huh, and Katz used them to resolve the long-standing Heron-Rota-Walsh conjecture, proving along the way that the Chow rings of geometric lattices satisfy versions of Poincaré duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. ...
متن کاملThe Chow rings of generalized Grassmanianns
Based on the formula for multiplying Schubert classes obtained in [D2] and programed in [DZ1], we introduce a new method to compute the Chow ring of a flag variety G/H . As applications the Chow rings of some generalized Grassmannians G/H are presented as the quotients of polynomial rings in the special Schubert classes on G/H .
متن کاملThe Chow Rings of Generalized Grassmannians
Based on the Basis theorem of Bruhat–Chevalley [C] and the formula for multiplying Schubert classes obtained in [Du] and programed in [DZ1], we introduce a new method computing the Chow rings of flag varieties (resp. the integral cohomology of homogeneous spaces). The method and results of this paper have been extended in [DZ3, DZ4] to obtain the integral cohomology rings of all complete flag m...
متن کاملذخیره 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: Journal of Pure and Applied Algebra
سال: 2008
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2008.03.021