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arXiv · 1608.04191

Weak Arithmetic Cobordism

Aurelien Rodriguez
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Abstract

In the early 2000's Levine and Morel have given a geometric construction of an algebraic cobordism group defined for all smooth quasi projective varieties over a field. We show how we can refine their construction to build an Arakelov version of this group for Arakelov varieties over a number field, and how this integrates well in the general philosophy of Arakelov geometry.

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Aurelien Rodriguez. 2016-08-15. Weak Arithmetic Cobordism. https://arxiv.org/abs/1608.04191

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