On Mukai's conjecture for hyperelliptic varieties

Q: What type of study is this?

This is a Quantitative Study study.

Federico Caucci

doi:10.48550/arxiv.2509.06629

September 8, 2025Open Access

On Mukai's conjecture for hyperelliptic varieties

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Key Points

This research confirms several cases of Mukai's conjecture for hyperelliptic varieties and abelian varieties.
Key results involve the syzygies of projective varieties with numerically trivial canonical line bundles.
It utilizes general results on smooth projective varieties to address various dimensions and positive characteristics.
These findings may extend the understanding of syzygies in the context of algebraic geometry.

Implication

Research confirms Mukai's syzygies conjecture in dimensions and characteristics, highlighting syzygies' role.

Abstract

We prove some general results on syzygies of smooth projective varieties with numerically trivial canonical line bundle. This allows to confirm several cases of Mukai's syzygies conjecture for finite quotients of abelian varieties in any dimension, and in positive characteristic.

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Cite This Study

Federico Caucci (2025) studied this question.

synapsesocial.com/papers/68e02f40f0e39f13e7fa280c https://doi.org/10.48550/arxiv.2509.06629

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On Mukai's conjecture for hyperelliptic varieties

Key Points

Implication

Abstract

Discussion

Cite This Study

On Mukai's conjecture for hyperelliptic varieties

Key Points

Implication

Abstract

Discussion

Cite This Study

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