The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equiv...The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equivariant version of this problem, in the presence of a linear action of a reductive group on M.展开更多
Associated with a Clifford system on R^(2 l),a Spin(m+1)action is induced on R^(2 l).An isoparametric hypersurface N in S^(2 l-1)of OT-FKM(Ozeki,Takeuchi,Ferns,Karcher and Miinzner)type is invariant under this action,...Associated with a Clifford system on R^(2 l),a Spin(m+1)action is induced on R^(2 l).An isoparametric hypersurface N in S^(2 l-1)of OT-FKM(Ozeki,Takeuchi,Ferns,Karcher and Miinzner)type is invariant under this action,and so is the Cartan-Munzner polynomial F(x).This action is extended to a Hamiltonian action on C^(2 l).We give a new description of F(x)by the moment mapμ:C2 l→t^(*),where t≌o(m+1)is the Lie algebra of Spin(m+1).It also induces a Hamiltonian action on CP^(2 l-1).We consider the Gauss map g of N into the complex hyperquadric Q_(2 l-2)(C)■CP^(2 l-1),and show that g(N)lies in the zero level set of the moment map restricted to Q_(2 l-2)(C).展开更多
We study the phase transition of Kähler Ricci-flat metrics on some open Calabi–Yau spaces with the help of the images of moment maps of natural torus actions on these spaces.
In this work, the authors proposed a four parameter potentiated lifetime model named as Transmuted Exponentiated Moment Pareto (TEMP) distribution and discussed numerous characteristic measures of proposed model. Para...In this work, the authors proposed a four parameter potentiated lifetime model named as Transmuted Exponentiated Moment Pareto (TEMP) distribution and discussed numerous characteristic measures of proposed model. Parameters are estimated by the method of maximum likelihood and performance of these estimates is also assessed by simulations study. Four suitable lifetime datasets are modeled by the TEMP distribution and the results support that the proposed model provides much better results as compared to its sub-models.展开更多
近年来,国际上对于强震前的加速矩释放(AMR)现象是否可作为一种可靠的、带有普遍性的地震前兆现象争议较大.本文以2008年3月21日新疆于田 M_s 7.3地震为例,试图从前兆存在的客观性和与地震发生的物理相关性两方面考察本次地震前的 AMR ...近年来,国际上对于强震前的加速矩释放(AMR)现象是否可作为一种可靠的、带有普遍性的地震前兆现象争议较大.本文以2008年3月21日新疆于田 M_s 7.3地震为例,试图从前兆存在的客观性和与地震发生的物理相关性两方面考察本次地震前的 AMR 现象.用"破裂时间分析"方程中的幂指数 m 作为描述震前加速矩释放"程度"的参量,在时间-空间-地震序列截止震级组成的三维参数空间(T,R,M_c)内考察 AMR 现象存存的客观性.考虑了多种因素对 m(T,R,M_c)分布图像可能的影响,其中,余震是否删除和 M_c 对计算影响不大,但 M_L 6.0以上"干扰"事件的影响则较大.结果表明,于田地震前的确存在 AMR 现象,但得到的 m(T,R,M_c)分布图像较为复杂,可观测到两个明显的 AMR 集中分布区.此外,在以实际震中为圆心的多个圆形区域内,使用固定时间窗向实际发震时刻滑动逼近,可观测到 m 值逐渐减小,即加速特征逐渐明显的过程.对震前矩释放程度 m 值的时-空扫描结果显示,出现 AMR 现象的空间区域与震中位置似有较好的对应,但其时-空演化图像与滑动时-空窗的选取有关.这表明,本次 M_s 7.3地震前的确存在 AMR 现象,并与其孕震过程在物理上相关.但本文仅是一个震例的研究,无法给出具有统计显著性的结论。此外,用 AMR 来约束地震发生的时间看来是困难的.展开更多
文摘The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equivariant version of this problem, in the presence of a linear action of a reductive group on M.
基金supported by Japan Society for the Promotion of Science(Grant No.15H03616)。
文摘Associated with a Clifford system on R^(2 l),a Spin(m+1)action is induced on R^(2 l).An isoparametric hypersurface N in S^(2 l-1)of OT-FKM(Ozeki,Takeuchi,Ferns,Karcher and Miinzner)type is invariant under this action,and so is the Cartan-Munzner polynomial F(x).This action is extended to a Hamiltonian action on C^(2 l).We give a new description of F(x)by the moment mapμ:C2 l→t^(*),where t≌o(m+1)is the Lie algebra of Spin(m+1).It also induces a Hamiltonian action on CP^(2 l-1).We consider the Gauss map g of N into the complex hyperquadric Q_(2 l-2)(C)■CP^(2 l-1),and show that g(N)lies in the zero level set of the moment map restricted to Q_(2 l-2)(C).
文摘We study the phase transition of Kähler Ricci-flat metrics on some open Calabi–Yau spaces with the help of the images of moment maps of natural torus actions on these spaces.
文摘In this work, the authors proposed a four parameter potentiated lifetime model named as Transmuted Exponentiated Moment Pareto (TEMP) distribution and discussed numerous characteristic measures of proposed model. Parameters are estimated by the method of maximum likelihood and performance of these estimates is also assessed by simulations study. Four suitable lifetime datasets are modeled by the TEMP distribution and the results support that the proposed model provides much better results as compared to its sub-models.
文摘近年来,国际上对于强震前的加速矩释放(AMR)现象是否可作为一种可靠的、带有普遍性的地震前兆现象争议较大.本文以2008年3月21日新疆于田 M_s 7.3地震为例,试图从前兆存在的客观性和与地震发生的物理相关性两方面考察本次地震前的 AMR 现象.用"破裂时间分析"方程中的幂指数 m 作为描述震前加速矩释放"程度"的参量,在时间-空间-地震序列截止震级组成的三维参数空间(T,R,M_c)内考察 AMR 现象存存的客观性.考虑了多种因素对 m(T,R,M_c)分布图像可能的影响,其中,余震是否删除和 M_c 对计算影响不大,但 M_L 6.0以上"干扰"事件的影响则较大.结果表明,于田地震前的确存在 AMR 现象,但得到的 m(T,R,M_c)分布图像较为复杂,可观测到两个明显的 AMR 集中分布区.此外,在以实际震中为圆心的多个圆形区域内,使用固定时间窗向实际发震时刻滑动逼近,可观测到 m 值逐渐减小,即加速特征逐渐明显的过程.对震前矩释放程度 m 值的时-空扫描结果显示,出现 AMR 现象的空间区域与震中位置似有较好的对应,但其时-空演化图像与滑动时-空窗的选取有关.这表明,本次 M_s 7.3地震前的确存在 AMR 现象,并与其孕震过程在物理上相关.但本文仅是一个震例的研究,无法给出具有统计显著性的结论。此外,用 AMR 来约束地震发生的时间看来是困难的.
