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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.2025.13167Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with
canonical singularities II: Terminal $\mathbb Q$-Fano threefoldsArticle
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
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
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