ON THE FIBRES OF AN ELLIPTIC SURFACE WHERE THE RANK DOES NOT JUMP

DOI10.1017/s0004972722001368zbMath1530.14063arXiv2210.14181MaRDI QIDQ6060523

Hector Pasten, Jerson Caro

Publication date: 3 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.14181

zbMATH Keywords

rankelliptic surfaceparity conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• Watkins’s conjecture for elliptic curves with non-split multiplicative reduction
• Elliptic K3 Surfaces with Geometric Mordell–Weil Rank 15
• Elliptische Kurven mit vorgeschriebenem Reduktionsverhalten. I

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