Haidong Liu ; Jie Liu - Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds

epiga:13167 - Épijournal de Géométrie Algébrique, June 3, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.13167
Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefoldsArticle

Authors: Haidong Liu ; Jie Liu

    We prove an optimal Kawamata-Miyaoka-type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka-type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

    Comment: 33 pages, 4 tables. Any comments are welcome. v2: we improve the exposition, 29 pages, 3 tables. v3: Final published vesion

    https://doi.org/10.46298/epiga.2025.13167
    Source: arXiv.org:2401.04391
    Volume: Volume 9
    Published on: June 3, 2025
    Accepted on: November 20, 2024
    Submitted on: March 4, 2024
    Keywords: Mathematics - Algebraic Geometry, Primary 14J45, Secondary 14J10, 14J30
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

    Share and export

    Consultation statistics

    This page has been seen 1024 times.
    This article's PDF has been downloaded 557 times.