On zero-cycles of varieties over Laurent fields
Algebraic Geometry
2024-02-23 v1
Abstract
We generalize a recent result of Pavic--Schreieder regarding the surjectivity of the obstruction morphism defined in [PS23]. As a consequence of this result, we show that geometrically (retract) rational varieties over a Laurent field of characteristic 0, which admit a strictly semi-stable model, have trivial Chow group of zero-cycles. Our key new ingredient comes from toric geometry.
Cite
@article{arxiv.2402.14406,
title = {On zero-cycles of varieties over Laurent fields},
author = {Jan Lange},
journal= {arXiv preprint arXiv:2402.14406},
year = {2024}
}
Comments
28 pages