English

On quadratically enriched excess and residual intersections

Algebraic Geometry 2023-07-06 v2 Algebraic Topology K-Theory and Homology

Abstract

We use recent duality results of Eisenbud--Ulrich to give tools to study quadratically enriched residual intersections when there is no excess bundle. We use this to prove a formula for the Witt-valued Euler number of an almost complete intersection. We give example computations of quadratically enriched excess and residual intersections.

Keywords

Cite

@article{arxiv.2112.05960,
  title  = {On quadratically enriched excess and residual intersections},
  author = {Tom Bachmann and Kirsten Wickelgren},
  journal= {arXiv preprint arXiv:2112.05960},
  year   = {2023}
}

Comments

32 pages. Accepted for publication in Journal f\"ur die reine und angewandte Mathematik (Crelle's Journal)

R2 v1 2026-06-24T08:13:17.953Z