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Showing 1 to 6 of 6 for “"Chow groups"”.
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Equivariant Chow groups and multiplicities
We propose a definition of equivariant Chow groups for schemes with a torus action and develop the intersection theory related to it. The equivariant intersection theories that have been considered in the past have been the Chow groups and the K-theory of the quotient scheme, as well as the …
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On the infinitesimal theory of Chow groups
The Chow groups of codimension-p algebraic cycles modulo rational equivalence on a smooth algebraic variety X have steadfastly resisted the efforts of algebraic geometers to fathom their structure. Except for the case p=1, which yields an algebraic group, the Chow groups remain mysterious. This …
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Some special cases of Chow groups of complete ramified regular local rings
In this thesis we study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, (I) = 0 in $A\sb{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, (P) = 0 …
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Torsors over Simplicial Schemes
… Grothendieck site C, and let G be a sheaf of groups on C. We define a notion of G-torsor over X, generalizing a definition of Gillet, and prove that there is a bijection between the set of isomorphism classes of G-torsors over X, and the set of maps in the homotopy category of simplicial …
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p-primary torsion part of Bloch's cycle complex from Grothendieck's coherent duality point of view
… invariance under rational resolutions for higher Chow groups of 0-cycles with Z/p^n-coefficients.
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Arithmetic inner product formula for unitary groups
… cuspidal automorphic representations for unitary groups of even variables defined over a totally real number field, and their relation with the canonical height of special cycles on Shimura varieties attached to unitary groups of the same size. We formulate a precise conjecture about an arithmetic …