Explicit Hyperelliptic Curves With Real Multiplication and Permutation Polynomials
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Publication:4007712
DOI10.4153/CJM-1991-061-xzbMath0793.14022OpenAlexW2321133125MaRDI QIDQ4007712
Jaap Top, Alain Verberkmoes, Walter Tautz
Publication date: 27 September 1992
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1991-061-x
Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Other algebras and orders, and their zeta and (L)-functions (11R54)
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Universal Deformations, Rigidity,and Ihara's Cocycle ⋮ On the root numbers of abelian varieties with real multiplication ⋮ A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties ⋮ 7-gons and genus three hyperelliptic curves ⋮ Degrees of curves in abelian varieties ⋮ Counting points on genus-3 hyperelliptic curves with explicit real multiplication ⋮ Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\) ⋮ Endomorphism algebras of Jacobians ⋮ On the index of degeneracy of a CM abelian variety ⋮ Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus ⋮ Maximal hyperelliptic curves of genus three ⋮ On certain maximal hyperelliptic curves related to Chebyshev polynomials ⋮ Modular invariants for genus 3 hyperelliptic curves ⋮ Rigid local systems, Hilbert modular forms, and Fermat's last theorem ⋮ On the Sato-Tate conjecture for non-generic abelian surfaces
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