English

Discriminant divisors for conic bundles

Algebraic Geometry 2024-05-14 v2

Abstract

We study some foundational properties on discriminant divisors for generically smooth conic bundles. In particular, we extend the formula ΔffKX/T2\Delta_f \equiv -f_*K_{X/T}^2 to arbitrary characteristics.

Keywords

Cite

@article{arxiv.2308.08119,
  title  = {Discriminant divisors for conic bundles},
  author = {Hiromu Tanaka},
  journal= {arXiv preprint arXiv:2308.08119},
  year   = {2024}
}

Comments

54 pages

R2 v1 2026-06-28T11:56:40.872Z