6 papers
Limit Values of Character Sums in Frobenius Formula of Three Permutations
Dun Liang, Bin Xu, Wenyan Yang
We study the asymptotic behaviour of the character summation part of the Frobenius formula for three conjugacy classes of the symmetric groups. When two conjugacy classes contain f…
Computing Dixmier Invariants and Some Geometric Configurations of Quartic Curves with 2 Involutions
Dun Liang
In this paper we consider plane quartics with to involutions. We compute the Dixmier invariants, the bitangents and the Matrix representation problem of these curves, showing that…
Invariants, Bitangents and Matrix Representations of Plane Quartics with 3-Cyclic Automorphisms
Dun Liang
In this work we compute the Dixmier invariants and bitangents of the plane quartics with 3,6 or 9-cyclic automorphisms, we find that a quartic curve with 6-cyclic automorphism will…
Algorithms And Programming On The Minimal Combinations Of Weights Of Projective Hypersurfaces
Dun Liang
This paper designs an alogrithm to compute the minimal combinations of finite sets in Euclidean spaces, and applys the algorithm of study the moment maps and geometric invariant st…
Computing Moment Maps of Hypersurfaces using MAXIMA
Dun Liang
We use Maxima to compute the moment matrices of hypersurfaces. After that, we compute the Hilbert-Mumford numerical criterion for plane cubics and plane quartics, and give the stab…
Genus 3 curves whose Jacobians have endomorphisms by , II
J. W. Hoffman, Dun Liang, Zhibin Liang +3
In this work we consider constructions of genus three curves such that contains the totally real cubic number field …