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51.
LI LingGuang 《中国科学 数学(英文版)》2014,57(1):61-67
Let X be a smooth projective curve of genus g 2 over an algebraically closed field k of characteristic p0,and F:X→X(1)the relative Frobenius morphism.Let M s X(r,d)(resp.M ss X(r,d))be the moduli space of(resp.semi-)stable vector bundles of rank r and degree d on X.We show that the set-theoretic map S ss Frob:M ss X(r,d)→M ss X(1)(rp,d+r(p-1)(g-1))induced by[E]→[F(E)]is a proper morphism.Moreover,the induced morphism S s Frob:M s X(r,d)→M s X(1)(rp,d+r(p-1)(g-1))is a closed immersion.As an application,we obtain that the locus of moduli space M s X(1)(p,d)consisting of stable vector bundles whose Frobenius pull backs have maximal Harder-Narasimhan polygons is isomorphic to the Jacobian variety Jac X of X. 相似文献
52.
Dana Gheorghe 《Journal of Mathematical Analysis and Applications》2009,354(1):273-285
Using some techniques of perturbation theory for quotient morphisms between Banach spaces we obtain necessary and sufficient conditions for the stability of the topological index of a q-open quotient morphism under small (with respect to the gap topology) perturbations with quotient morphisms. As an application we obtain necessary and sufficient conditions for the stability of the topological index of an open linear relation with closed multivalued part between normed spaces under small perturbations with linear relations. 相似文献
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Margarida Mendes Lopes Rita Pardini Sofia Tirabassi 《Mathematische Nachrichten》2023,296(10):4739-4744
Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note, we show that under these hypotheses the quasi-Albanese map is proper in codimension 1 as conjectured by Iitaka. 相似文献
56.
ZhaoWeijia PanZhenkuan ChenLiqun 《Acta Mechanica Solida Sinica》2004,17(1):45-51
Two constraint violation stabilization methods are presented to solve the Euler Lagrange equations of motion of a multibody system with nonholonomic constraints. Compared to the previous works, the newly devised methods can deal with more complicated problems such as those with nonholonomic constraints or redundant constraints, and save the computation time. Finally a numerical simulation of a multibody system is conducted by using the methods given in this paper. 相似文献
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称双序集E为双序集F用矩形双序集的余扩张,若存在满双序集态射θ:E→F,使对每个α∈F,αθ-1是E的矩形双序子集.本文讨论了拟正则双序集的这种余扩张的性质,给出了它们的结构.作为应用,证明了拟正则的硬双序集实为正则双序集. 相似文献
59.
Various aspects of the traditional homotopy theory of topological spaces may be developed in an arbitrary 2-category C with zeros. In particular certain secondary composition operations called box brackets recently have been defined for C; these are similar to, but extend, the familiar Toda brackets in the topological case. In this paper we introduce further the notion of a suspension functor in C and explore the ramifications of relativizing the theory in terms of the associated lax morphism category of C, denoted mC. Four operations associated to a 3-box diagram are introduced and relations among them are clarified. The results and insights obtained, while by nature somewhat technical, yield effective and efficient techniques for computing many operations of Toda bracket type. We illustrate by recording some computations from the homotopy groups of spheres. Also the properties of a new operation, the 2-sided matrix Toda bracket, are explored. 相似文献
60.
Paul Bracken 《Central European Journal of Physics》2008,6(3):662-670
A string action which is essentially a Willmore functional is presented and studied. This action determines the physics of
a surface in Euclidean three space which can be used to model classical string configurations. By varying this action an equation
of motion for the mean curvature of the surface is obtained which is shown to govern certain classical string configurations.
Several classes of classical solutions for this equation are discussed from the symmetry group point of view and an application
is presented.
相似文献