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《复变函数与椭圆型方程》2012,57(12):1071-1075
We show in this article that there exists conjugate points at infinity in infinite dimensional Teichmüller spaces. 相似文献
3.
Yuliang Shen 《Mathematische Zeitschrift》2007,256(2):229-242
We determine the biholomorphic fiber preserving isomorphisms of fiber spaces over Teichmüller spaces for Fuchsian groups with
elliptic elements. We show that except in some special cases a biholomorphic fiber preserving isomorphism between two Bers
fiber spaces is always an allowable mapping. We find that the situation is different for Teichmüller curves, showing that
in general there are some other biholomorphic fiber preserving isomorphisms between Teichmüller curves besides the allowable
mappings.
Research supported by the National Natural Science Foundation of China. 相似文献
4.
We will be mainly concerned with some important fiber spaces over Teichmüller spaces, including the Bers fiber space and Teichmüller
curve, establishing an isomorphism theorem between “punctured” Teichmüller curves and determining the biholomorphic isomorphisms
of these fiber spaces. 相似文献
5.
In the framework of values for TU-games, it is shown that a particular type of consistency, called linear consistency, together
with some kind of standardness for two-person games, imply efficiency, anonymity, linearity, as well as uniqueness of the
value. Among others, this uniform treatment generalizes Sobolev's axiomatization of the Shapley value.
Revised version: December 2001 相似文献
6.
Jin-Xing Cai 《manuscripta mathematica》1998,95(3):273-287
Let X, Y be smooth complex projective varieties, and be a fiber space whose general fiber is a curve of genus g. Denote by q
f
the relative irregularity of f. It is proved that , if f is not generically trivial; moreover, if either a) f is non-constant and the general fiber is either hyperelliptic or bielliptic or b) q(Y)= 0, then , and the bound is best possible.
A classification of fiber surfaces of genus 3 with q
f
= 2 is also given in this note.
Received: 19 March 1997 / Revised version: 29 October 1997 相似文献
7.
Ido Efrat 《manuscripta mathematica》1998,95(2):237-249
For an odd prime p we classify the pro-p groups of rank ≤ 4 which are realizable as the maximal pro-p Galois group of a field containing a primitive root of unity of order p.
Received: 2 September 1997 相似文献
8.
《复变函数与椭圆型方程》2012,57(5):333-344
This article provides information on p-logarithmic s-Carleson measure characterization of the weighted BMOA spaces. Also, the boundedness and compactness of composition operators from Bloch-type space and weighted Bloch space to weighted BMOA space are discussed. 相似文献
9.
Denis A. Labutin 《manuscripta mathematica》2000,102(2):163-167
We show that any set E⊂C
n
, n≥ 2, with finite Hausdorff measure? is pluripolar. The result is sharp with respect to the measuring function. The new idea in the proof is to combine a construction
from potential theory, related to the real variational integral , , with properties of the pluricomplex relative extremal function for the Bedford–Taylor capacity.
Received: 20 May 1999 相似文献
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《复变函数与椭圆型方程》2012,57(5):319-321
Let X be a topological space whose topology may be defined by a complete metric d. Taking all such metrics d we define a universal complex structure on X. For this complex structure the sheaf of germs of holomorphic functions on X coincides with the sheaf of germs of continuous functions on X, and hence the theories of topological and holomorphic vector bundles on X are the same. 相似文献
12.
B. Ammann 《manuscripta mathematica》2000,101(1):1-22
The Willmore conjecture states that any immersion of a 2-torus into euclidean space satisfies . We prove it under the condition that the L
p
-norm of the Gaussian curvature is sufficiently small.
Received: 10 June 1999 相似文献
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《复变函数与椭圆型方程》2012,57(3):227-228
In [] the authors constructed, for each r∈ (0,1), a function from a homogeneous tree of degree 2t to the open unit disk in the complex plane mapping the root of the tree to 0 and any pair of neighbors to points at hyperbolic distance r. Correspondingly, there is a free group of rank t of Möbius transformations such that the vertices of the tree are mapped to the orbit of 0, and the edges to geodesic arcs. One of the principal results of [] is to show that this function is an embedding of the tree when cos(π /2t)≤ r<1. This corrigendum fills a gap in the argument. 相似文献
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Samuel Grushevsky 《Mathematische Annalen》2001,321(1):1-13
An explicit upper bound for the Weil-Petersson volumes of punctured Riemann surfaces is obtained using Penner's combinatorial
integration scheme from [4]. It is shown that for a fixed number of punctures n and for genus g increasing,
while this limit is exactly equal to two for n=1.
Received: 17 May 2000 / Revised version: 9 August 2000 / Published online: 23 July 2001 相似文献
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Algebraic varieties V are investigated on which the natural analogue of the classical Phragmén-Lindel?f principle for plurisubharmonic functions holds. For a homogeneous polynomial P in three variables it is shown that its graph has this property if and only if P has real coefficients, no elliptic factors, is locally hyperbolic in all real characteristics, and the localizations in these characteristics are square-free. The last condition is shown to be necessary in any dimension. Received July 23, 1998 相似文献
18.
Daniel H. Luecking 《Mathematische Annalen》2000,316(4):659-679
We provide a characterization of the sampling measures for the Bergman spaces. These are the positive measures on the unit disk for which there exists a constant such that These are the continuous analogues of the sets of sampling characterized by K. Seip [13,14] and A. Schuster [12]. Our characterization is in terms of weak* limits of the Moebius transformations of the measure , and mimics the notion for sequences that sampling means being uniformly far from zero sets. Received: 26 October 1998 / in revised form: 25 Juni 1999 相似文献
19.
Eero Hyry 《manuscripta mathematica》1999,98(3):377-390
Let A be a normal local ring which is essentially finite type over a field of characteristic zero. Let I⊂A be an ideal such that the Rees algebra R
A
(I) is Cohen–Macaulay and normal. In this paper we address the question: “When does R
A
(I) have rational singularities?” In particular, we study the connection between rational singularities of R
A
(I) and the adjoint ideals of the powers I
n
(n∋ℕ).
Received: 25 May 1998 / Revised version: 20 August 1998 相似文献