Fibration of \(\log \)-general type space over quasi-abelian varieties

DOI10.4310/AJM.2021.V25.N1.A3zbMATH Open1475.14014arXiv1609.03089MaRDI QIDQ2236434

Chuanhao Wei

Publication date: 25 October 2021

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Abstract: We show that there exists no smooth fibration of a smooth complex quasi-projective variety of log-general type over a quasi-abelian variety. The proof uses M. Popa and C. Schnell's construction of Higgs bundle.

Full work available at URL: https://arxiv.org/abs/1609.03089

zbMATH Keywords

Kodaira dimensionHiggs bundleholomorphic one-formHodge modulelogarithmic polesmooth fibrationzero locusquasi-abelian variety

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Fibrations, degenerations in algebraic geometry (14D06)

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