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基于最优线性码与射影几何理论,针对不同码长最优码的距离特性,研究了低维五元最优LCD码的构造。首先利用删截等方法构造了较小码长的三维和四维最优线性码以及最优LCD码;其次,借助部分已知矩阵和删截等方法构造了较大码长的三维和四维最优线性码以及最优LCD码;最后,利用已知最优LCD码和特殊码长最优自正交码构造了任意大码长的最优LCD码,完全解决了三维和四维最优LCD码的构造问题。这些LCD码的构造方法...
T. The deformation space t(E) of convex Rp2_ structures on a closed surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR) of equivalence classes of representations r1 (l) -- ...
Projective spaces and hyperquadrics are the simplest projective algebraic varieties, and they can be characterized in many ways. The aim of this paper is to provide a new characterization of them in t...
In some varieties of algebras one can reduce the question of finding most general unifiers (mgus) to the problem of the existence of unifiers that fulfill the additional condition called projectivity....
We characterize conjugate nonparametric Bayesian models as projective limits of conjugate, nite-dimensional Bayesian models. In particular, we identify a large class of nonparametric models represent...
or a hypersurface in a projective space, we consider the set of pairs of a point and a line in the projective space such that the line intersects the hypersurface at the point with a fixed multiplicit...
We describe the transpose operator for self-projective and symmetric coalgebras in terms of the syzygy and Nakayama functors.
We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fr´echet bundles and the compatibility with the different morphisms. We then use t...
Let X be a smooth complex projective variety. A re-cent conjecture of S. Kov´acs states that if the pth-exterior power of the tangent bundle TX contains the pth-exterior power of an am- ple vec...
Let G(S, ρ) be a graph whose vertices are complex projective struc-tures with holonomy ρ and whose edges are graftings from one vertex to another. If ρ is quasi-Fuchsian, a theorem of Goldman implies ...
We study in some detail the structure of the projective quadric Q′obtained by taking the quotient of the isotropic cone in a standard pseudohermitian space Hp,q with respect to the positive real numbe...
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the Mumford weights of suit...
We study compact Kähler threefolds X with infinite fundamental group whose universal cover can be compactified. Combining techniques from L2-theory, Campana’s geometric orbifolds and the minimal ...
For a smooth and projective variety over a number field with torsion free geometric Picard group and finite transcendental Brauer group we show that only the archimedean places, the primes of bad redu...
We investigate Lp regularity of weighted Bergman projec-tions and zeros of weighted Bergman kernels for the weights that are radially symmetric and comparable to 1 on the unit disc.

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