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    Title      l  On numerical equivalence for algebraic cobordism
    Author   l  Anandam Banerjee, Jinhyun Park
    Date   l  2013-12-09
    Category   l  ASARC-Preprint-13-12
    Download    l 1387758928_0.070441.pdf  
Abstract. We define and study the notion of numerical equivalence on algebraic
cobordism cycles. We prove that algebraic cobordism modulo numerical equivalence
of a smooth projective variety is a finitely generated module over the Lazard ring, and
that it reproduced Chow group modulo numerical equivalence.
We compare it with the notions of homological equivalence and smash-equivalence
for cobordism cycles, using Kimura fitniteness on cobordism motives. We resolve part
of the cobordism analogue of a conjecture of Voevodsky on smash-equivalence and
numerical equivalence.

Keyword

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