Multiplicities of the Betti map associated to a section of an elliptic surface from a differential-geometric perspective

DOI10.1007/s12220-023-01256-3arXiv2206.09405MaRDI QIDQ6157823

Ngaiming Mok, Sui-Chung Ng

Publication date: 12 May 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09405

zbMATH Keywords

Mordell-Weil groupelliptic surfacesramification divisorclassifying mapelliptic modular surfaceBetti map

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Cites Work

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• Prolongement des courants, positifs, fermes de masse finie
• Unramified sections of the Legendre scheme and modular forms
• On the torsion values for sections of an elliptic scheme
• On elliptic modular surfaces
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• The singularities of the invariant metric on the line bundle of Jacobi forms
• Bounding Tangencies of Sections on Elliptic Surfaces
• Variation of canonical height and equidistribution

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