Discriminant divisors for conic bundles
Hiromu Tanaka
TL;DR
This paper investigates the properties of discriminant divisors in conic bundles, extending a key formula to all characteristics, thereby enhancing the theoretical understanding of these geometric structures.
Contribution
It generalizes the discriminant divisor formula for conic bundles to arbitrary characteristics, broadening its applicability in algebraic geometry.
Findings
Extended the discriminant divisor formula to all characteristics.
Provided foundational properties of discriminant divisors in conic bundles.
Enhanced understanding of the relationship between discriminant divisors and canonical divisors.
Abstract
We study some foundational properties on discriminant divisors for generically smooth conic bundles. In particular, we extend the formula to arbitrary characteristics.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology