Discriminant divisors for conic bundles

Author:

Hiromu Tanaka

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-08-15 16:00:00

Abstract

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

PDF: Discriminant divisors for conic bundles.pdf