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scientific article; zbMATH DE number 851658

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Publication:4868126
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zbMath0859.11033MaRDI QIDQ4868126

Michael Stoll

Publication date: 9 May 1996


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

curves of genus 2Mordell-Weil group of rank at least 19simple Jacobian


Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)


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Exhibiting SHA[2 on hyperelliptic Jacobians] ⋮ Homogeneous spaces and degree 4 del Pezzo surfaces ⋮ Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ Arbitrarily large Tate-Shafarevich group on abelian surfaces ⋮ Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves ⋮ Rational torsion of \(J_0(N)\) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10 ⋮ The Hasse principle and the Brauer-Manin obstruction for curves ⋮ Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2 ⋮ Explicit root numbers of abelian varieties ⋮ Descent via \((5, 5)\)-isogeny on Jacobians of genus 2 curves



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