The Birch and Swinnerton-Dyer conjecture for an elliptic curve over \(\mathbb{Q}(\sqrt[4]{5})\)
DOI10.1007/s00013-019-01383-wzbMath1469.11218arXiv1805.05862OpenAlexW2978910655WikidataQ123233774 ScholiaQ123233774MaRDI QIDQ2291677
Publication date: 31 January 2020
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05862
Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) [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)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Isogeny (14K02)
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Cites Work
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- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- On curves of genus 2 with Jacobian of \(\text{GL}_2\)-type
- The Cassels-Tate pairing on polarized Abelian varieties
- Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms
- Existence of curves of genus two on a product of two elliptic curves
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
- The Arithmetic of Elliptic Curves
- FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
- Constructing hyperelliptic curves of genus 2 suitable for cryptography
- Galois descent and twists of an abelian variety
- Numerical Verification of the Birch and Swinnerton-Dyer Conjecture for Hyperelliptic Curves of Higher Genus over ℚ up to Squares
- Notes on elliptic curves. II.
- An introduction to Riemann surfaces, algebraic curves and moduli spaces
- On the arithmetic of abelian varieties
- The moduli spaces of Jacobians isomorphic to a product of two elliptic curves
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