Logarithmic Chow theory
Algebraic Geometry
2020-09-21 v3
Abstract
We describe a refined Chow theory for log schemes extending the theory of b-Chow suggested Holmes Pixton and Schmidt based off of a definition of Shokurov. This produces a dimension graded family of Abelian groups supporting a push-forward and pull-back along proper and log flat morphisms respectively, together with a bivariant theory satisfying Poincare Duality. In the final section we relate this construction to the construction of the log normal cone by Leo Herr.
Keywords
Cite
@article{arxiv.1810.03746,
title = {Logarithmic Chow theory},
author = {Lawrence Jack Barrott},
journal= {arXiv preprint arXiv:1810.03746},
year = {2020}
}