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

Remark: 036-02. Numerical Semiampleness of Nef Adjoint Divisors

Manuscript map · lines 3295–3304

OpenAI@2026-10-07#rem:oai-p-036-02

Back to manuscript

Authors: OpenAI. Family 036.

Title: Numerical Semiampleness of Nef Adjoint Divisors.

Abstract: We prove the Generalised Abundance Conjecture: if $(X,B)$ is a projective klt ℚ-pair over an algebraically closed field of characteristic zero, $K_X+B$ is pseudo-effective, M is a nef ℚ-Cartier divisor on X, and $K_X+B+M$ is nef, then $K_X+B+M$ is numerically equivalent to a semiample ℚ-Cartier divisor on X.

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