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

Remark: 036-03. Minimal models and Mori fibre spaces for generalized log canonical Q-pairs

Manuscript map · lines 3305–3314

OpenAI@2026-10-07#rem:oai-p-036-03

Back to manuscript

Authors: OpenAI. Family 036.

Title: Minimal models and Mori fibre spaces for generalized log canonical Q-pairs.

Abstract: We resolve the existence form of the minimal-model conjecture for projective generalized log canonical ℚ-pairs over algebraically closed fields of characteristic zero. Such a pair admits a minimal model when its adjoint divisor is pseudo-effective, and a Mori fibre space otherwise, while keeping the nef ℚ-Cartier b-divisor fixed. Taking the nef part to be zero gives the corresponding result for ordinary log canonical ℚ-pairs.

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