A geometric linear Chabauty comparison theorem
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Publication:5065969
DOI10.4064/aa210616-6-10OpenAlexW3215025971MaRDI QIDQ5065969
Publication date: 23 March 2022
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04967
Counting solutions of Diophantine equations (11D45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]
Related Items (3)
GEOMETRIC QUADRATIC CHABAUTY ⋮ Geometric quadratic Chabauty over number fields ⋮ Geometric quadratic Chabauty and \(p\)-adic heights
Uses Software
Cites Work
- Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves
- Torsion points on curves and p-adic abelian integrals
- Finiteness theorems for abelian varieties over number fields.
- Quadratic Chabauty and rational points. I: \(p\)-adic heights
- Explicit Chabauty-Kim for the split Cartan modular curve of level 13
- On the theory of commutative formal groups
- A database of genus-2 curves over the rational numbers
- The Mordell–Weil sieve: proving non-existence of rational points on curves
- Linear algebra algorithms for divisors on an algebraic curve
- An Explicit Theory of Heights for Hyperelliptic Jacobians of Genus Three
- Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties
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