共查询到20条相似文献,搜索用时 93 毫秒
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Let X be a non-primary Hopf Surface with Abelian fundamental groupπ_1 (X)(?) Z(?)Z_m, L a line bundle on X, we give a formula for computing the dimension of cohomology H~q(X,Ω~P(L)) and the explicit results for non-primary exceptional Hopf surface. 相似文献
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研究了具有任意基本群的非主Hopf流形上的全纯线丛.我们利用推广了Douady序列,利用群作用的方法,具体给出了一类具有非交换基本群的Hopf曲面上全纯线丛上同调维数的计算公式。 相似文献
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主要证明了相关Yetter-Drinfel'd Hopf代数上的相关Hopf模结构定理,不仅推广了Yetter-Drinfel'd Hopf代数上的Hopf模结构定理,而且推广了相关Hopf模结构定理.同时,给出相关Yetter-Drinfel'd Hopf代数上的Maschke定理. 相似文献
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本文讨论复射影空间中曲率齐性实超曲面,在适当条件下证明了它与复射影空间中等参超曲面等价,因此得到它的局部结构。 相似文献
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设M是2维复双曲空间CH^2中的具有三个不同常数主曲率的实超曲面,则M满足下列之一:(1)其中有两个主曲率之间的差界于0和1之间;(2)三个主曲率形成一个公差是1的等差数列;(3)M全纯重合于二维实双曲空间上的一个管子。 相似文献
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Let X be a compact complex manifold. Consider a small deformation π: X → B of X, the dimensions of the cohomology groups of tangent sheaf Hq(Xt, TXt) may vary under this deformation. This article studies such phenomena by studying the obstructions to deform a class in Hq(X, TX) with parameter t and gets a formula for the obstructions. 相似文献
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叶轩明 《数学物理学报(B辑英文版)》2010,(5):1746-1758
Let X be a compact complex manifold.Consider a small deformation π :X→B of X,the dimensions of the cohomology groups of tangent sheaf H q(X_t,T_X_t) may vary under this deformation.This article studies such phenomena by studying the obstructions to deform a class in H q(X,T X) with parameter t and gets a formula for the obstructions. 相似文献
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Arkadiy L. Onishchik 《Annals of Global Analysis and Geometry》1993,11(4):361-372
The rigidity of the complex super-Grassmannian Gr
m|n,k|l
with 0<k<m, 0<l<n, supposing that (k, l) (1,n–1), (m–1, 1), (1,n–2), (m–2, 1), (2,n–1), (m–1, 2), is proved.Partially supported by Erwin Schrödinger International Institute for Mathematical Physics (Vienna, Austria) 相似文献
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Shigeyuki Kondō 《Compositio Mathematica》1999,116(2):111-117
We show that the Kodaira dimension of the moduli space of polarized K3 surfaces of degree 2n in non negative if n = 42, 43, 51, 53, 55, 57, 59, 61, 66, 67, 69, 74, 83, 85, 105, 119 or 133. We use an automorphic form associated with the fake monster Lie algebra constructed by Borcherds. 相似文献
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Myong-Hee Sung 《Annals of Global Analysis and Geometry》1997,15(6):509-518
We construct Kähler metrics of positive scalar curvature on almost all blown-up ruled surfaces of arbitrary genus. The metrics have an explicit form on ruled surfaces blown up at most twice successively from a minimal model. Our surfaces are generic in the sense that they make up a dense set in the deformations of a given ruled surface. 相似文献
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Haibao Duan 《Compositio Mathematica》2002,132(2):159-175
Let CS
n
be the flag manifold SO(2n)/U(n). We give a partial classification for the endomorphisms of the cohomology ring H
*(CS
n
; Z) which is very close to a homotopy classification of all selfmaps of CS
n
. Applications concerning the geometry of the space are discussed. 相似文献
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Shigeru Takamura 《Mathematische Nachrichten》2000,209(1):179-187
Motivated by a problem of characterizing CR‐structures on the 3‐sphere, we give a geometric construction of formal deformations of a complex surface, which is the complement of a ball in the projective plane. They are described by cohomology groups of the blow‐up X of the projective plane. Moreover it will be shown that the space of these formal deformations is an infinite dimensional space with a natural stratification by finite dimensional subspaces. This stratification re ects algebro‐geometric properties of X. It is expected that our construction will clarify the complex geometric nature of the space of non‐embeddable CR‐structures on the 3‐sphere. 相似文献
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For functions of several variables a property is established similar to the well-known result of S. B. Stechkin about the metric property of almost increasing functions. In the case of one variable the proof is easier than the known one. 相似文献
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The deformation theory of Lie–Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie–Yamaguti algebras is obtained. 相似文献
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We study the problem of describing the cone of the effective divisors in the second symmetric product of a curve with general moduli using a degeneration to a rational g-nodal curve. 相似文献