Bounds on the denominators in the canonical bundle formula
Enrica Floris
TL;DR
This paper investigates bounds on the denominators in the canonical bundle formula for lc-trivial fibrations with rational curve fibers, providing explicit bounds for the discriminant and moduli divisor.
Contribution
It establishes explicit bounds on the denominators in the canonical bundle formula for lc-trivial fibrations with rational fibers, advancing understanding of their arithmetic properties.
Findings
Derived bounds for denominators of discriminant divisors
Established bounds for denominators of moduli divisors
Enhanced understanding of lc-trivial fibrations with rational fibers
Abstract
In this work we study the moduli part in the canonical bundle formula of an lc-trivial fibration whose generic fibre is a rational curve. In particular we find a bound for the denominators of the discriminant and the moduli divisor.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology