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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
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...
The local-global exact sequence for Chow groups of zero-cycles
zero-cycles local-global principle Brauer–Manin obstruction
2012/6/27
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...
Differential Chow Form for Projective Differential Variety
Differential Chow form differentially homogenous prime differential ideal projective differential variety intersection theory
2011/9/13
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...
Scalar curvature and asymptotic Chow stability of projective bundles and blowups
Scalar curvature asymptotic Chow stability projective bundles blowups
2010/12/14
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...
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...
Intersection Theory for Generic Differential Polynomials and Differential Chow Form
Generic Differential Polynomials Differential Chow Form
2010/11/26
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 ...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
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.
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Balanced metrics chow stability of projective bundles Riemann surfaces
2010/12/15
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...
INTERSECTION THEORY FOR GENERIC DIFFERENTIAL POLYNOMIALS AND DIFFERENTIAL CHOW FORM
Differential Chow form differential Chow variety differential resultant dimension conjecture intersection theory generic differential polynomials
2013/9/9
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 ...
We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.