The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions
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Publication:5396108
DOI10.1112/S0010437X13007410zbMath1297.14026arXiv1204.3335OpenAlexW2963176145MaRDI QIDQ5396108
Eric Katz, David Zureick-Brown
Publication date: 5 February 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3335
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Related Items (10)
Geometric quadratic Chabauty over number fields ⋮ Non-Archimedean analytic geometry. Abstracts from the workshop held November 4--10, 2012. ⋮ Explicit Vologodsky integration for hyperelliptic curves ⋮ A Chabauty-Coleman bound for surfaces ⋮ Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank ⋮ Most odd degree hyperelliptic curves have only one rational point ⋮ Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell–Weil rank ⋮ Degeneration of Linear Series from the Tropical Point of View and Applications ⋮ Tropical complexes ⋮ Linear series on metrized complexes of algebraic curves
Cites Work
- Unnamed Item
- Rational points on curves
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad)
- Effective Chabauty
- Dual graphs of degenerating curves
- Siegel's theorem in the compact case
- The Magma algebra system. I: The user language
- Thue equations and the method of Chabauty-Coleman.
- Riemann-Roch and Abel-Jacobi theory on a finite graph
- Rational 6-Cycles Under Iteration of Quadratic Polynomials
- The Mordell–Weil sieve: proving non-existence of rational points on curves
- Deciding Existence of Rational Points on Curves: An Experiment
- Independence of rational points on twists of a given curve
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