Noether inequality for irregular threefolds of general type

Yong Hu; Tong Zhang

doi:10.1016/j.aim.2025.110683

Noether inequality for irregular threefolds of general type

Yong Hu^*
, Tong Zhang

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

Abstract

Let X be a smooth irregular 3-fold of general type over C. We prove that the optimal Noether inequality vol(X)≥43p_g(X) holds if p_g(X)≥16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and p_g(X)≥16, its canonical model can be explicitly described.

Original language	English
Article number	110683
Journal	Advances in Mathematics
Volume	483
DOIs	https://doi.org/10.1016/j.aim.2025.110683
State	Published - Dec 2025

Keywords

Irregular threefolds of general type
Noether inequality

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10.1016/j.aim.2025.110683

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title = "Noether inequality for irregular threefolds of general type",

abstract = "Let X be a smooth irregular 3-fold of general type over C. We prove that the optimal Noether inequality vol(X)≥43pg(X) holds if pg(X)≥16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and pg(X)≥16, its canonical model can be explicitly described.",

keywords = "Irregular threefolds of general type, Noether inequality",

author = "Yong Hu and Tong Zhang",

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year = "2025",

month = dec,

doi = "10.1016/j.aim.2025.110683",

language = "英语",

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T1 - Noether inequality for irregular threefolds of general type

AU - Hu, Yong

AU - Zhang, Tong

PY - 2025/12

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N2 - Let X be a smooth irregular 3-fold of general type over C. We prove that the optimal Noether inequality vol(X)≥43pg(X) holds if pg(X)≥16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and pg(X)≥16, its canonical model can be explicitly described.

AB - Let X be a smooth irregular 3-fold of general type over C. We prove that the optimal Noether inequality vol(X)≥43pg(X) holds if pg(X)≥16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and pg(X)≥16, its canonical model can be explicitly described.

KW - Irregular threefolds of general type

KW - Noether inequality

UR - https://www.scopus.com/pages/publications/105022268231

U2 - 10.1016/j.aim.2025.110683

DO - 10.1016/j.aim.2025.110683

M3 - 文章

AN - SCOPUS:105022268231

SN - 0001-8708

VL - 483

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 110683

ER -

Noether inequality for irregular threefolds of general type

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Keywords

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