共查询到20条相似文献,搜索用时 15 毫秒
1.
Yuan Zhang 《Mathematische Annalen》2007,337(2):457-478
Let
and
denote the complexifications of Heisenberg hypersurfaces in
and
, respectively. We show that non-degenerate holomorphic Segre mappings from
into
with
possess a partial rigidity property. As an application, we prove that the holomorphic Segre non-transversality for a holomorphic Segre map from
into
with
propagates along Segre varieties. We also give an example showing that this propagation property of holomorphic Segre transversality fails when N > 2n − 2. 相似文献
2.
Mark Elin Marina Levenshtein Simeon Reich David Shoikhet 《Proceedings of the American Mathematical Society》2008,136(12):4313-4320
We present a rigidity property of holomorphic generators on the open unit ball of a Hilbert space . Namely, if is the generator of a one-parameter continuous semigroup on such that for some boundary point , the admissible limit - , then vanishes identically on .
3.
Paul H. Rabinowitz 《Israel Journal of Mathematics》1973,16(1):46-52
Using degree theory, an elementary topological proof is given of some well-known results in the theory of several complex
variables. In particular it is shown that a compact analytic variety consists of finitely many points.
This research was supported in part by the Office of Naval Research under contract N00014-670-A-0128-0023. Reproduction in
whole or in part is permitted for any purpose of the U.S. Government. 相似文献
4.
M. Brodmann 《Archiv der Mathematik》2002,79(2):87-92
Let M be a finitely generated faithful module over a noetherian ring R of dimension d < ¥ \infty and let \mathfrak a \subseteqq R {\mathfrak a} \subseteqq R be an ideal. We describe the (finite) set SuppR(H\mathfrak ad (M)) = AssR(H\mathfrak ad (M)) \textrm{Supp}_R(H_{\mathfrak a}^d (M)) = \textrm{Ass}_R(H_{\mathfrak a}^d (M)) of primes associated to the highest local cohomology module H\mathfrak ad (M) H_{\mathfrak a}^d (M) in terms of the local formal behaviour of \mathfrak a {\mathfrak a} . If R is integral and of finite type over a field, SuppR(H\mathfrak ad (M)) \textrm{Supp}_R(H_{\mathfrak a}^d (M)) is the set of those closed points of X = Spec(R) whose fibre under the normalization morphism n: X¢? X \nu : X' \rightarrow X contains points which are isolated in n-1(Spec(R/\mathfrak a)) \nu^{-1}(\textrm{Spec}(R/{\mathfrak a})) . 相似文献
5.
L. I. Ronkin 《Ukrainian Mathematical Journal》1990,42(8):976-987
An analog of Jessen's theorem on the existence of a Jessen function and its relation to the distribution of roots of a holomorphic almost periodic function in a strip is obtained for almost periodic maps.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1094–1107, August, 1990. 相似文献
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Lawrence Gruman 《Mathematische Annalen》1979,245(3):199-218
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Neill Robertson 《manuscripta mathematica》1992,75(1):25-34
LetE andF be locally convex topological vector spaces. A holomorphic mapf: E→F is defined to be an Asplund map if it takes the separable subsets of a neighbourhood of eacha∈E into absolutely convex weakly metrisable subsets ofF; a Banach space is an Asplund space if and only if its identity map has this property. We show that a continuous linear map
from a quasinormable locally convex spaceE into a Banach spaceF is an Asplund map if and only if it factors through an Asplund space. IfE andF are both Banach spaces, then a holomorphic mapf: E→F is an Asplund map if and only if its derivative maps
factor through Asplund spaces for eacha∈E. This is true if and only if such a factorisation holds ata=0.
Part of this research was done during a visit to the University of Namibia, whose financial support is gratefully acknowledged
This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990 相似文献
11.
Bernd Siebert 《Mathematische Annalen》1994,300(1):243-271
On leave from: Mathematisches Institut, Bunsenstrasse 3-5, D-37073, Göttingen, Germany 相似文献
12.
In this article we study deformations of a holomorphic foliationwith a generic non-rational first integral in the complex plane.We consider two vanishing cycles in a regular fiber of the firstintegral with a non-zero self intersection and with vanishingpaths that intersect each other only at their start points.It is proved that if the deformed holonomies of such vanishingcycles commute then the deformed foliation has also a firstintegral. Our result generalizes a similar result of Ilyashenkoon the rigidity of holomorphic foliations with a persistentcenter singularity. The main tools of the proof are Picard–Lefschetztheory and the theory of iterated integrals for such deformations. 相似文献
13.
F. Tovena 《Geometriae Dedicata》2009,139(1):15-31
Let M be a smooth complex manifold, and S(⊂ M) be a compact irreducible subvariety with dim
C
S > 0. Let be given either a holomorphic map f : M → M with f
|S
= id
S
, f ≠ id
M
, or a holomorphic foliation on M: we describe an approach that can be applied to both map and foliation in order to obtain index theorems.
Partially supported by GNSAGA, Centro de Giorgi, M.U.R.S.T. 相似文献
14.
David Prill 《manuscripta mathematica》1980,32(1-2):59-80
Let t: XY be a proper morphism of non-singular irreducible affine curves over . This paper shows that there is seldom a holomorphic function f such that (t,f): X Y × is a holomorphic embedding. 相似文献
15.
Bernd Siebert 《Mathematische Annalen》1993,296(1):269-283
This and the second part of the paper are to a great extent parts of my thesis [Si] which also appeared as preprint Mathematica Gottingensis 5/92. This work was partly supported by the S7B170 Geometrie und Analysis in Göttingen 相似文献
16.
J. B. Boyling 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1995,46(2):289-294
LetC be a curve which is conformal to a pair of line segments meeting at an angle strictly between 0 and ,u a biharmonic function analytic in a neighbourhood ofC, whose gradient vanishes onC. It is shown thatu(x, y) must be constant. 相似文献
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Yu Qing Chen 《Proceedings of the American Mathematical Society》1999,127(7):2041-2044
We prove that a holomorphic map is invertible if its Jacobian matrix is unipotent.
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