Human Variations on AI Mathematics

This article is motivated by the OpenAI manuscripts "Minimal metrics and interior injectivity for nef adjoints" and "Log abundance in characteristic zero". We establish a jet comparison for metrics with minimal singularities and use it to prove a dlt-type extension theorem. Combined with geometric arguments from the latter manuscript, this yields an alternative analytic proof of its Theorem~3.1.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03225
Primary Topic
Geometry and complex manifolds
Type
preprint
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preprint

Human Variations on AI Mathematics

Junyan Cao, Mihai Păun
arXiv (Cornell University)
Geometry and complex manifolds
preprint

Human Variations on AI Mathematics

Junyan Cao, Mihai Păun
preprint en

Abstract

This article is motivated by the OpenAI manuscripts "Minimal metrics and interior injectivity for nef adjoints" and "Log abundance in characteristic zero". We establish a jet comparison for metrics with minimal singularities and use it to prove a dlt-type extension theorem. Combined with geometric arguments from the latter manuscript, this yields an alternative analytic proof of its Theorem~3.1.

arXiv (Cornell University)
Geometry and complex manifolds
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Human Variations on AI Mathematics — Junyan Cao, Mihai Păun · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS