A counterexample to the Popa--Schnell global generation conjecture

We provide a counterexample to the Popa--Schnell global generation conjecture. The counterexample consists of a contraction from a smooth projective threefold to a smooth projective surface.

Authors

Jihao Liu (ORCID: https://orcid.org/0000-0002-7190-5531)

Institutions

Peking University (CN)

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2026-10-13
DOI: https://doi.org/10.5281/zenodo.23334836
Primary Topic: Algebraic Geometry and Number Theory
Type: preprint

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preprint

A counterexample to the Popa--Schnell global generation conjecture

Jihao Liu

Oct 13, 2026

Zenodo (CERN European Organization for Nuclear Research)

Algebraic Geometry and Number Theory

preprint

A counterexample to the Popa--Schnell global generation conjecture

Jihao Liu

October 13, 2026preprint en

Abstract

We provide a counterexample to the Popa--Schnell global generation conjecture. The counterexample consists of a contraction from a smooth projective threefold to a smooth projective surface.

Zenodo (CERN European Organization for Nuclear Research)

Peking University (CN)

Algebraic Geometry and Number Theory

DOI Open Access PDF OpenAlex

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