Complete systems of addition laws an abelian varieties

DOI10.1007/BF01388526zbMath0577.14035MaRDI QIDQ1065890

Herbert Lange, Wolfgang M. Ruppert

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143215

zbMATH Keywords

ample line bundleaddition law

Mathematics Subject Classification ID

Elliptic curves (14H52) Transcendence (general theory) (11J81) Algebraic theory of abelian varieties (14K05) Formal groups, (p)-divisible groups (14L05) Group varieties (14L10)

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A complete set of addition laws for twisted jacobi intersection curves ⋮ Addition laws on elliptic curves in arbitrary characteristics ⋮ Families of translations of commutative algebraic groups ⋮ A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring ⋮ Group structure of elliptic curves over \(\mathbb{Z}/N\mathbb{Z}\) ⋮ A complete set of addition laws for incomplete Edwards curves ⋮ Addition law structure of elliptic curves ⋮ Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products ⋮ Complete addition laws on abelian varieties ⋮ Twisted $${\mu }_4$$ -Normal Form for Elliptic Curves ⋮ Protecting ECC against fault attacks: the ring extension method revisited ⋮ Equations for endomorphisms of abelian varieties

Cites Work

• Unnamed Item
• Multiplicity estimates on group varieties
• Zero estimates on group varieties. I
• On projective normality of abelian varieties. II
• On the equations defining Abelian varieties. I-III

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