Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 034-11. Relative denominators and effective systems for log Calabi-Yau fibrations

Manuscript map · lines 3225–3234

OpenAI@2026-10-07#rem:oai-p-034-11

Back to manuscript

Authors: OpenAI. Family 034.

Title: Relative denominators and effective systems for log Calabi-Yau fibrations.

Abstract: We prove uniform denominator and effective-system bounds for log Calabi-Yau fibrations from projective log canonical complex pairs of dimension at most four onto positive-dimensional bases, with boundary coefficients in a fixed finite rational set. The bounds give a uniform trivializing degree and a uniform b-Cartier multiple of the moduli b-divisor. When the base divisor is big, a uniform complete rounded adjoint system has section ratios generating the full base function field.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

Nearby in this section