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STEENROD OPERATIONS IN CHOW THEORY     CHOW THEORY  STEENROD OPERATIONS       font style='font-size:12px;'> 2015/9/29
An action of the Steenrod algebra is constructed on the mod p Chow theory of varieties over a eld of characteristic di erent from p answering a question posed in Fulton's Intersection Theory. The a...
CHOW’S K/k-IMAGE AND K/k-TRACE, AND THE LANG–NERON THEOREM     THE LANG–NERON THEOREM  K/k-TRACE       font style='font-size:12px;'> 2015/7/6
Let K/k be an extension of fields, and assume that it is primary: the algebraic closure of k in K is purely inseparable over k. The most interesting case in practice is when K/k is a regular ex...
A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods to construct severa...
Abstract: In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dim...
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the Mumford weights of suit...
The Hilbert-Chow morphism and the incidence divisor      Chow variety  Hilbert scheme       font style='font-size:12px;'> 2010/12/14
For a smooth projective variety P, we construct a Cartier divisor supported on the incidence locus in Ca(P) × Cdim(P)−a−1(P). There is a natural definition of the corresponding line bundle...
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.
In 1980, I. Morrison proved that slope stability of a vector bundle of rank 2 over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polari...
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...
Chow groups of weighted hypersurfaces     Chow  weighted hypersurfaces       font style='font-size:12px;'> 2010/10/29
We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.

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