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An inequality on the Hodge number h1,1 of a fibration and the Mordell-Weil rank

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Publication:4634118
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DOI10.3906/mat-1703-13zbMath1424.14002OpenAlexW2793944067WikidataQ130069189 ScholiaQ130069189MaRDI QIDQ4634118

Cheng Gong, Hao Sun

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1703-13


zbMATH Keywords

Mordell-Weil rankfibrationHodge number


Mathematics Subject Classification ID

Rational and birational maps (14E05)


Related Items (1)

On the Mordell–Weil rank of a surface fibration



Cites Work

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  • Families of curves over \(\mathbb P^1\) with 3 singular fibers
  • Picard number of the generic fiber of an abelian fibered hyperkähler manifold
  • Pluricanonical maps of varieties of Albanese fiber dimension two
  • On elliptic modular surfaces
  • A new inequality on the Hodge number of algebraic surfaces
  • SHIODA-TATE FORMULA FOR AN ABELIAN FIBERED VARIETY AND APPLICATIONS
  • Cohomological support loci of varieties of Albanese fiber dimension one
  • On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers


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