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Locally Divergent Orbits on Hilbert Modular Spaces and Margulis Conjectures
Locally Divergent Orbits Hilbert Modular Spaces Margulis Conjectures
2011/3/1
We describe the closures of locally divergent orbits under the action of tori on Hilbert modular spaces of rank r ≥ 2.In particular, we prove that if D is a maximal R-split torus acting on a real Hilb...
Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes
Deformations of modules of maximal grade Hilbert scheme determinantal schemes
2011/1/19
Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal It(A) generated by the maximal minors of a homogeneous presentation matrix.
在文［２］中，Ｗ．Ｋｏｈｎｎ对权为ｋ和ｌ的任意二个歧点型模形式ｆ和ｇ（其变换群是全模群$(SL_2(Z)$定义了一类Ｄｉｒｉｃｈｌｅｔ级数$L_{f,g,n}(s)$，利用$L_{f,g,n}(s)(n\geq 1)$为整数），可构造一个线性映射$W_g:S_k\longrightarrow S_{k-1}$并且讨论了$L_{f,g,n$的一些特征值．在本文中，我们将［２］中的结果推广到Ｈｉｌｂ...