Ranks of Elliptic Curves Over Function Fields

DOI10.1112/S1461157000000565zbMath1222.11075arXiv0711.4706OpenAlexW2963101682MaRDI QIDQ3091962

Alan G. B. Lauder

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4706

zbMATH Keywords

elliptic curvesfibration methodcomputation of \(L\)-functions of hyperelliptic curves over the rational function field

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• Finiteness of rigid cohomology with coefficients
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Twisted L-Functions and Monodromy. (AM-150)
• A Recursive Method for Computing Zeta Functions of Varieties
• Average ranks of elliptic curves: Tension between data and conjecture
• The Riemann-Hilbert problem
• Frobenius and the Hodge filtration
• Moments, Monodromy, and Perversity. (AM-159)

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