Non-hyperelliptic modular Jacobians of dimension 3
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Publication:3055138
DOI10.1090/S0025-5718-08-02174-1zbMath1203.14010MaRDI QIDQ3055138
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Abelian varieties of dimension (> 1) (11G10) Holomorphic modular forms of integral weight (11F11) Modular and Shimura varieties (14G35) Theta functions and curves; Schottky problem (14H42) Torelli problem (14C34)
Related Items
Non-hyperelliptic modular curves of genus 3, On the Torelli problem and Jacobian Nullwerte in genus three
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- Non-hyperelliptic modular curves of genus 3
- Index calculus in class groups of non-hyperelliptic curves of genus three
- Abelian varieties with several principal polarizations
- On the projective invariants of quartic plane curves
- Any smooth plane quartic can be reconstructed from its bitangents
- The hyperelliptic locus
- Jacobian nullwerte and algebraic equations
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
- On the factors of the Jacobian variety of a modular function field
- Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian
- Finiteness results for modular curves of genus at least 2
- The Brauer–Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface
- Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ
- Fast addition on non-hyperelliptic genus 3 curves
- On the generic curve of genus 3
- Abelian surfaces of GL2-type as Jacobians of curves
- Recovering plane curves from their bitangents
- Modular curves of genus 2
- Algorithmic Number Theory
- Hyperelliptic Simple Factors of J0(N) with Dimension at Least 3
- Algorithmic Number Theory
- Public Key Cryptography – PKC 2004