例句與造句

1. Finally, Hodge theory gives information about the Chow group of algebraic cycles on a given variety.
2. From another viewpoint, motives continue the sequence of generalizations from rational functions on varieties to divisors on varieties to Chow groups of varieties.
3. One difference from a usual Chow group is that a cycle may carry non-trivial automorphisms and consequently intersection-theoretic operations must take this into account.
4. Working initially with Levine, and later with Park, Krishna built up the original constructions of Bloch-Esnault on additive Chow groups into a full theory.
5. This allows the complete calculation of the Chow group of 0-cycles on an algebraic variety in many cases, like the case of rational varieties or cones.
6. It's difficult to find chow group in a sentence. 用chow group造句挺難的
7. The Chow group of zero-cycles on " X " maps onto the integers by the degree homomorphism; let " K " be the kernel.
8. Replacing the Chow group by Suslin-Voevodsky algebraic singular homology after the introduction of Motivic cohomology " Roitman's theorem " has been obtained and reformulated in the motivic framework.
9. For a scheme " X " over an arbitrary field " k ", there is an analogous cycle map from Chow groups to ( Borel Moore ) etale homology.
10. This includes proving fundamental properties, such as the contravariant functoriality and a projective bundle formula, as well as constructing an action of the usual higher Chow groups on the additive ones ."
11. Arithmetic Chow groups are an amalgamation of Chow groups of varieties over "'Q "'together with a component encoding Arakelov-theoretical information, that is, differential forms on the associated complex manifold.
12. Arithmetic Chow groups are an amalgamation of Chow groups of varieties over "'Q "'together with a component encoding Arakelov-theoretical information, that is, differential forms on the associated complex manifold.
13. The Hodge conjecture is about the image of the cycle map from Chow groups to ordinary cohomology, but Hodge theory also gives information about the kernel of the cycle map, for example using the intermediate Jacobians which are built from the Hodge structure.
14. Bloch's definition of higher Chow groups ( 1986 ) was the first integral ( as opposed to rational ) definition of motivic homology for schemes over a field " k " ( and hence motivic cohomology, in the case of smooth schemes ).
15. The first clear sign of a possible generalization from Chow groups to a more general motivic cohomology theory for algebraic varieties was Quillen's definition and development of algebraic K-theory ( 1973 ), generalizing the Grothendieck group " K " 0 of vector bundles.
16. The definition of higher Chow groups of " X " is a natural generalization of the definition of Chow groups, involving algebraic cycles on the product of " X " with affine space which meet a set of hyperplanes ( viewed as the faces of a simplex ) in the expected dimension.
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