Projectivity in Algebraic Cobordism

2013/03/28 by José Luis González, González, José Luis, Kalle Karu +1
Mathematics · #14C17 #14F43 (Primary) 55N22 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C17 #msc:14F43 #msc:55N22

paper · pdf · doi:10.48550/arxiv.1303.7242

17 pages. arXiv admin note: substantial text overlap with arXiv:1301.3292

arxiv created 2013/03/28 · arxiv updated 2013/04/01

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.

Citations

• Descent for algebraic cobordism

Related

• Equivariant Algebraic Cobordism
• Equivariant cobordism of schemes
• Intersection theory in algebraic cobordism
• Weak Arithmetic Cobordism
• Bivariant Versions of Algebraic Cobordism