Computing Arakelov class groups

zbMath1188.11076arXiv0801.3835MaRDI QIDQ3615930

René Schoof

Publication date: 24 March 2009

Full work available at URL: https://arxiv.org/abs/0801.3835

zbMATH Keywords

Arakelov class groupsclass group computation

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (16)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ A generalization of reduced Arakelov divisors of a number field ⋮ On reduced Arakelov divisors of real quadratic fields ⋮ A Terr algorithm for computations in the infrastructure of real-quadratic number fields ⋮ Upper bounds for Euclidean minima of algebraic number fields ⋮ The size function for imaginary cyclic sextic fields ⋮ Reduced ideals from the reduction algorithm ⋮ Computing dimensions of spaces of Arakelov divisors of number fields ⋮ Heuristics and conjectures in the direction of a $p$-adic Brauer–Siegel Theorem ⋮ The size function for quadratic extensions of complex quadratic fields ⋮ The infrastructure of a global field of arbitrary unit rank ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups ⋮ Modular lattices over cyclotomic fields ⋮ Random self-reducibility of ideal-SVP via Arakelov random walks ⋮ Computing Igusa class polynomials ⋮ The size function for cyclic cubic fields

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