A vanishing theorem for quadratic intersection multiplicities
Algebraic Geometry
2021-12-13 v1
Abstract
We study intersection theoretic problems in the setting of Chow-Witt groups with coefficients in a fixed Milnor-Witt cycle algebra over a perfect field. We prove that the product maps on such groups satisfy the following property: given two points in a regular local scheme with supports which do not intersect properly, their product vanishes. This gives an analogue of Serre's vanishing result for intersection multiplicities.
Cite
@article{arxiv.2112.05200,
title = {A vanishing theorem for quadratic intersection multiplicities},
author = {Niels Feld},
journal= {arXiv preprint arXiv:2112.05200},
year = {2021}
}