scientific article; zbMATH DE number 1113820

zbMath0898.11045MaRDI QIDQ4375592

Leonard M. Adleman, Ming-Deh A. Huang

Publication date: 4 October 1998

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

zbMATH Keywords

rational pointshyperelliptic curvescomplexity analysisdeterministic algorithmJacobian varietiesprimality testcharacteristic polynomial of the Frobenius endomorphismabelian variety over a finite field

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Computational aspects of higher-dimensional varieties (14Q15) Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Computational aspects of algebraic curves (14Q05) Arithmetic ground fields for abelian varieties (14K15) Varieties over finite and local fields (11G25)

Related Items (6)

Approximating Euler products and class number computation in algebraic function fields ⋮ Algorithms for modular counting of roots of multivariate polynomials ⋮ Counting points on curves and Abelian varieties over finite fields ⋮ Decision problems in quadratic function fields of high genus ⋮ Computing zeta functions of algebraic curves using Harvey's trace formula ⋮ Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology

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