Picard Groups and Refined Discrete Logarithms

DOI10.1112/S1461157000000875zbMath1119.11067MaRDI QIDQ5697466

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Publication date: 17 October 2005

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/8/lms2003-035/

Mathematics Subject Classification ID

Units and factorization (11R27) Complex multiplication and moduli of abelian varieties (11G15) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Class groups and Picard groups of orders (11R65)

Related Items (5)

Computation of lattice isomorphisms and the integral matrix similarity problem ⋮ Finite subgroups of automorphisms of K3 surfaces ⋮ Computing isomorphisms between lattices ⋮ Computing generators of free modules over orders in group algebras. ⋮ Computing residue class rings and Picard groups of orders

Cites Work

• Computing associated orders and Galois generating elements of unit lattices
• Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)
• On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley)
• A remark about the Galois module structure in ray class fields over imaginary quadratic number fields
• On arithmetical associated orders
• Lubin-Tate formal groups and module structure over Hopf orders
• Algebraische Zahlentheorie
• Die Klassengruppe einer kommutativen Ordnung

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