Chow rings of vector space matroids
نویسندگان
چکیده
منابع مشابه
Chow 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 کاملWitt Rings and Matroids
The study of Witt rings of formally real fields in the algebraic theory of quadratic forms has led to a particularly good understanding of the finitely generated torsion free Witt rings. In this paper, we work primarily with a somewhat more general class of rings which can be completely characterized by (binary) matroids. The different types of standard constructions and invariants coming from ...
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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 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...
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ژورنال
عنوان ژورنال: Journal of Combinatorics
سال: 2021
ISSN: 2156-3527,2150-959X
DOI: 10.4310/joc.2021.v12.n1.a3