English

Aspects of enumerative geometry with quadratic forms

Algebraic Geometry 2021-04-07 v7

Abstract

We develop various aspects of classical enumerative geometry, including Euler characteristics and formulas for counting degenerate fibres in a pencil, with the classical numerical formulas being replaced by identitites in the Grothendieck-Witt group of quadratic forms with coefficients in the base-field.

Keywords

Cite

@article{arxiv.1703.03049,
  title  = {Aspects of enumerative geometry with quadratic forms},
  author = {Marc Levine},
  journal= {arXiv preprint arXiv:1703.03049},
  year   = {2021}
}

Comments

The paper has appeared in Documenta. This version corrects a few typos

R2 v1 2026-06-22T18:40:16.268Z