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Projectivity in Algebraic Cobordism

  • Jose Luis Gonzalez,
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2
  • Kalle Karu,
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2
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Abstract

The algebraic cobordism group of a scheme is generated by cycles that are proper morphisms from smooth quasiprojective varieties. We prove that over a field of characteristic zero the quasiprojectivity assumption can be omitted to get the same theory.
Keywords: algebraic cobordism, quasiprojectivity, cobordism cycles algebraic cobordism, quasiprojectivity, cobordism cycles
MSC Classifications: 14C17, 14F43, 55N22 show english descriptions Intersection theory, characteristic classes, intersection multiplicities [See also 13H15]
Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90]
14C17 - Intersection theory, characteristic classes, intersection multiplicities [See also 13H15]
14F43 - Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
55N22 - Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90]
 

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