Weak Arithmetic Cobordism
Algebraic Geometry
2016-08-16 v1
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.
Keywords
Cite
@article{arxiv.1608.04191,
title = {Weak Arithmetic Cobordism},
author = {Aurelien Rodriguez},
journal= {arXiv preprint arXiv:1608.04191},
year = {2016}
}