Genus bounds for curves with fixed Frobenius eigenvalues

DOI10.1090/S0002-9939-2013-11839-3zbMath1286.14035arXiv1006.0822MaRDI QIDQ2862171

Christophe Ritzenthaler, Noam D. Elkies, Everett W. Howe

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0822

zbMATH Keywords

linear programmingJacobiancurvegenusWeil polynomialFrobenius angle

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items

On fields of rationality for automorphic representations, Counting curves over finite fields, Effective bounds on the dimensions of Jacobians covering abelian varieties

Uses Software

• Magma
• SageMath

Cites Work

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