科研之友
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摘要
Based on the algebraic cobordism theory of Levine and Morel, we develop a theory of algebraic cobordism modulo algebraic equivalence. %26lt;br%26gt;We prove that this theory can reproduce Chow groups modulo algebraic equivalence and the semi-topological K-0-groups. We also show that with finite coefficients, this theory agrees with the algebraic cobordism theory. %26lt;br%26gt;We compute our cobordism theory for some low dimensional varieties. The results on infinite generation of some Griffiths groups by Clemens and on smash-nilpotence by Voevodsky and Voisin are also lifted and reinterpreted in terms of this cobordism theory.
- 出版日期2013-2
