共查询到20条相似文献,搜索用时 31 毫秒
1.
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
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We study compact minimal generic submanifolds of a complex projective space with flat normal connection and prove a reduction theorem of codimension under the condition on the Ricci tensor.The present studies were supported by the Basic Science Research Institute Program, Korea Ministry of Education, 1993-114. 相似文献
4.
The Kuhn–Tucker-type necessary optimality conditions are given for the problem of minimizing a max fractional function, where the numerator of the function involved is the sum of a differentiable function and a convex function while the denominator is the difference of a differentiable function and a convex function, subject to a set of differentiable nonlinear inequalities on a convex subset C of Rn, under the conditions similar to the Kuhn–Tucker constraint qualification or the Arrow–Hurwicz–Uzawa constraint qualification or the Abadie constraint qualification. Relations with the calmness constraint qualification are given. 相似文献
5.
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
6.
Marcin Bilski 《Indagationes Mathematicae》2009,20(1):23-41
Let X be an analytic subset of pure dimension n of an open set U ⊂ Cm and let E be a Nash subset of U such that E ⊂ X.Then for every a ∈ E there is an open neighborhood V of a in U and a sequence {Xv} of complex Nash subsets of V of pure dimension n converging to X ∩ V in the sense of holomorphic chains such that the following hold for every v ∈ N: E ∩ V ⊂ Xv and the multiplicity of Xv at x equals the multiplicity of X at x for every x in a dense open subset of E ⊂ V. 相似文献
7.
Vincenzo Ancona 《Bulletin des Sciences Mathématiques》2010,134(7):705
Let (X,OX) be a compact (reduced) complex space, bimeromorphic to a Kähler manifold. The singular cohomology groups Hq(X,C) carry a mixed Hodge structure. In particular they carry a weight filtration W−lHq(X,C) (l=0,…,q), and the graded quotients have a direct sum decomposition into holomorphic invariants as . Here we investigate the relationships between the above invariants for r=0 and the cohomology groups , where is the sheaf of weakly holomorphic functions on X. Moreover, according to the smooth case, we characterize the topological line bundles L on X such that the class of c1(L) in has pure type (1,1). 相似文献
8.
Let V be an algebraic variety in . We say that V satisfies the strong Phragmén-Lindelöf property (SPL) or that the classical Phragmén-Lindelöf Theorem holds on V if the following is true: There exists a positive constant A such that each plurisubharmonic function u on V which is bounded above by |z|+o(|z|) on V and by 0 on the real points in V already is bounded by A| Im z|. For algebraic varieties V of pure dimension k we derive necessary conditions on V to satisfy (SPL) and we characterize the curves and surfaces in which satisfy (SPL). Several examples illustrate how these results can be applied. 相似文献
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Mats Andersson 《Bulletin des Sciences Mathématiques》2004,128(6):481-512
We define a residue current of a holomorphic mapping, or more generally of a holomorphic section of a holomorphic vector bundle, by means of Cauchy-Fantappie-Leray type formulas, and prove that a holomorphic function that annihilates this current belongs to the corresponding ideal locally. We also prove that the residue current coincides with the Coleff-Herrera current in the case of a complete intersection. The residue current is globally defined and this is used in some geometric applications. By means of the residue current we also construct, for an arbitrary ideal, an integral formula for interpolation and division. 相似文献
11.
Z. Robinson 《Journal of Number Theory》2006,116(2):474-482
Assume that K is a perfect field of characteristic p>0 that is complete with respect to an ultrametric valuation, and let X be a rigid analytic variety over K. Suppose that X is smooth and connected with respect to its Grothendieck topology. Let f be a (global) function on X the differential of which vanishes locally at some point of X; then f is the pth power of a (global) function. 相似文献
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David B. Massey 《Mathematische Annalen》2001,321(2):275-294
If a complex analytic function, f, has a stratified isolated critical point, then it is known that the cohomology of the Milnor fibre of f has a direct sum decomposition in terms of the normal Morse data to the strata. We use microlocal Morse theory to obtain
the same result under the weakened hypothesis that the vanishing cycles along f have isolated support. We also investigate an index-theoretic proof of this fact.
Received: 15 September 2000 / Published online: 18 June 2001 相似文献
14.
Abdallah El Haouzi 《Mathematische Annalen》1997,308(2):221-249
Sans résumé
Received: 20 August 1995 / Revised version: 20 April 1996 相似文献
15.
The Poincaré-Bertrand formula and the composition formula for the Bochner-Martinelli integral on piecewise smooth manifolds
are obtained. As an application, the regularization problem for linear singular integral equation with Bochner-Martinelli
kernel and variable coefficients is discussed. 相似文献
16.
Franc Forstnerič Björn Ivarsson Frank Kutzschebauch Jasna Prezelj 《Mathematische Annalen》2007,338(3):545-554
Given a Stein manifold x of dimension n > 1, a discrete sequence , and a discrete sequence where , there exists a proper holomorphic embedding satisfying f(a
j
) = b
j
for every j = 1,2,...
Forstnerič and Prezelj supported by grants P1-0291 and J1-6173, Republic of Slovenia.
Kutzschebauch supported by Schweizerische National fonds grant 200021-107477/1.
Ivarsson supported by The Wenner-Gren Foundations. 相似文献
17.
Résumé. Soient E un fibré vectoriel holomorphe au dessus d'une variétéq-complète X et M une sous-variété réelle de dimension 2p-1 () de E. Nous montrons que le problème du bord pour M est résoluble si et seulement si M est maximalement complexe. Dans le cas où nous retrouvons le théorème de Harvey et Lawson [17]. Comme conséquence nous obtenons une généralisation du théorème de Hartogs-Bochner
pour les applications CR-méromorphesà valeurs dans une variétéq-convexe et une généralisation au cas CR-méromorphe du théorème d'extension de Chazal [5].
Let E be a holomorphic vector bundle over a -complete manifold X and M be a real submanifold of dimension 2p-1 () of E. We prove that M has a solution to the boundary problem in X if and only if M is maximally complex. In the case , this is a result of Harvey and Lawson [17]. As a consequence, we obtain a generalization of the Hartogs-Bochner theorem for CR-meromorphic maps taking their values in -convex manifolds and a generalization to the CR-meromorphic case of a theorem of Chazal [5].
Received: 27 April 2000 / Published online: 23 July 2001 相似文献
18.
We describe an efficient method for the computer evaluation of the ordinary irreducible polynomial representations of general linear groups using an integral form of the ordinary irreducible representations of symmetric groups. In order to do this, we first give an algebraic explanation of D. E. Littlewood's modification of I. Schur's construction. Then we derive a formula for the entries of the representing matrices which is much more concise and adapted to the effective use of computer calculations. Finally, we describe how one obtains — using this time an orthogonal form of the ordinary irreducible representations of symmetric groups — a version which yields a unitary representation when it is restricted to the unitary subgroup. In this way we adapt D. B. Hunter's results which heavily rely on Littlewood's methods, and boson polynomials come into the play so that we also meet the needs of applications to physics. 相似文献
19.
Swen Kiesel 《Insurance: Mathematics and Economics》2010,47(2):167-175
In this paper we extend results on optimal risk allocations for portfolios of real risks w.r.t. convex risk functionals to portfolios of risk vectors. In particular we characterize optimal allocations minimizing the total risk as well as Pareto optimal allocations. Optimal risk allocations are shown to exhibit a worst case dependence structure w.r.t. some specific max-correlation risk measure and they are comonotone w.r.t. a common worst case scenario measure. We also derive a new existence criterion for optimal risk allocations and discuss some examples. 相似文献
20.
This paper develops a method for pricing bivariate contingent claims under General Autoregressive Conditionally Heteroskedastic (GARCH) process. As the association between the underlying assets may vary over time, the dynamic copula with time-varying parameter offers a better alternative to any static model for dependence structure and even to the dynamic copula model determined by dynamic dependence measure. Therefore, the proposed method proves to play an important role in pricing bivariate options. The approach is illustrated with one type of better-of-two-markets claims: call option on the better performer of Shanghai and Shenzhen Stock Composite Indexes. Results show that the option prices obtained by the time-varying copula model differ substantially from the prices implied by the static copula model and even the dynamic copula model derived from the dynamic dependence measure. Moreover, the empirical work displays the advantages of the suggested method. 相似文献