共查询到20条相似文献,搜索用时 16 毫秒
1.
Stein流形上全纯函数积分公式的拓广 总被引:3,自引:0,他引:3
得到了Stein流形上一种全纯函数的积分式,这种公式的特点含有可供选择的参数m≥2的整数,当m=2时即为Stein流形上全纯函数的方B-M公式. 相似文献
2.
LetX be a smooth complex algebraic surface such that there is a proper birational morphism/:X → Y withY an affine variety. Let Xhol be the 2-dimensional complex manifold associated toX. Here we give conditions onX which imply that every holomorphic vector bundle onX is algebraizable and it is an extension of line bundles. We also give an approximation theorem of holomorphic vector bundles
on Xhol (X normal algebraic surface) by algebraic vector bundles. 相似文献
3.
《复变函数与椭圆型方程》2012,57(1):23-25
Here we give a few n-dimensional extensions of a recent result of M. Abe concerning a Cousin I characterization of two-dimensional Stein manifolds. 相似文献
4.
Atsushi Noma 《Proceedings of the American Mathematical Society》1998,126(1):35-43
The purpose of this paper is to classify ample and spanned vector bundles of top Chern number two on smooth projective varieties of arbitrary dimension defined over an algebraically closed field of characteristic zero.
5.
《复变函数与椭圆型方程》2012,57(11):987-989
Let U ? C n , n ≥ 3, be a domain and P ∈ ?U such that U is 2-concave at P. Here we prove the existence of a holomorphic vector bundle on U which does not extend across P, but it extends across every Q ∈ ?U with Q ≠ P. We also prove a similar result taking a Stein space X instead of C n . 相似文献
6.
In this paper, a characterization for an I(L)-topological space to be generated by a given co-tower of L-topological spaces is obtained. Moreover, the relationship between some properties of an I(L)-topological vector space generated by a co-tower of L-topological vector spaces and the corresponding properties of the given co-tower of L-topological vector spaces is investigated. Our results show that if an I(L)-topological vector space generated by a co-tower of L-topological vector spaces has some properties, such as local convexity and local boundedness, then all L-topological vector spaces in the co-tower also have the same properties. But the converse is incorrect even in the case of I-topological vector space generated by a co-tower of classical topological vector spaces. Finally, we supply a necessary and sufficient condition for an I(L)-topological vector space generated by a co-tower of L-topological vector spaces with some properties, such as local convexity and local boundedness, to have such properties too. 相似文献
7.
Makoto Abe 《Mathematische Nachrichten》2002,238(1):16-22
We prove that the total space E of an algebraic affine ℂ‐bundle π : E → X on the punctured complex affine plane X ≔ ℂ2 – {(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X × ℂ. 相似文献
8.
Yutaka Hemmi Teiichi Kobayashi Kazushi Komatsu 《Topology and its Applications》2009,156(15):2485-2490
Let Ln(3) denote the (2n+1)-dimensional standard lens space mod 3. In this paper, we study the conditions for a given real vector bundle over Ln(3) to be stably extendible to Lm(3) for every mn, and establish the formula on the power ζk=ζζ (k-fold) of a real vector bundle ζ over Ln(3). Moreover, we answer the stable splitting problem for real vector bundles over Ln(3) by means of arithmetic conditions. 相似文献
9.
Omegar Calvo-Andrade 《Bulletin of the Brazilian Mathematical Society》1999,30(2):183-197
We consider codimension one holomorphic foliations in complex projective manifolds of dimension at least 3, having a compact Kupka component and represented by integrable holomorphic sections of the bundleTM
*L, whereL denotes a very ample holomorphic line bundle. We will show that, if the transversal type is not the radial vector field andH
1 (M,) = 0, then the foliation has a meromorphic first integral.Supported by Conacyt: 3398-E 9307 相似文献
10.
Let be an ample vector bundle of rank r ≥ 2 on a smooth complex projective variety X of dimension n such that there exists a global section of whose zero locus Z is a smooth subvariety of dimension n − r ≥ 3 of X. Let H be an ample line bundle on X such that its restriction H
Z
to Z is very ample. Triplets are classified under the assumption that (Z,H
Z
) has a smooth bielliptic curve section of genus ≥ 3 with .
相似文献
11.
In this paper we present recent results concerning global aspects of and -actions on Stein surfaces. Our approach is based on a byproduct of techniques from Geometric Theory of Foliations (holonomy,
stability), Potential theory (parabolic Riemann surfaces, Riemann-Koebe Uniformization theorem) and Several Complex Variables
(Hartogs’ extension theorems, Theory of Stein spaces). Our main motivation comes from the original works of M. Suzuki and
Orlik-Wagreich. Some of their results are extended to a more general framework. In particular, we prove some linearization
theorems for holomorphic actions of and on normal Stein analytic spaces of dimension two. We also add a list of questions and open problems in the subject. The underlying
idea is to present the state of the art of this research field.
相似文献
12.
Sandra Di Rocco Andrew J. Sommese 《Transactions of the American Mathematical Society》2004,356(2):587-598
This article shows a number of strong inequalities that hold for the Chern numbers , of any ample vector bundle of rank on a smooth toric projective surface, , whose topological Euler characteristic is . One general lower bound for proven in this article has leading term . Using Bogomolov instability, strong lower bounds for are also given. Using the new inequalities, the exceptions to the lower bounds 4e(S)$"> and e(S)$"> are classified.
13.
Hlronobu Ishihara 《代数通讯》2013,41(9):4327-4335
A new genus g = g (X, ?) is defined for the pairs (X, ?S)that consist of n-dimensional compact complex manifolds X and ample vector bundles ? of rank r less than n on X. In case r = n-1g is equal to curve genus. Above pairs (X,?) with g less than two are classified. For spanned ? it is shown that g is greater than or equal to the irregularity of X, and its equality condition is given. 相似文献
14.
We describe the Chern classes of holomorphic vector bundles on non-algebraic complex torus of dimension 2. 相似文献
15.
Paul Popescu 《Central European Journal of Mathematics》2004,2(5):826-839
Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed
using an anchored vector bundle.
The paper was partially supported by a 2005 MEC-CNCSIS grant. 相似文献
16.
Volker Krtschmer 《Fuzzy Sets and Systems》2002,130(3):1064
The classes of the Lp,∞- and Lp-metrics play an important role to develop a probability theory in fuzzy sample spaces. All of these metrics are known to be separable, but not complete. The classes are closely related as for each Lp,∞-metric there exists some Lp-metric which induces the same topology. This paper deals with the completion of the Lp,∞- and Lp-metrics. We can also show that the relationship between the classes of Lp,∞- and Lp-metrics still holds for the obtained respective classes of their completions. 相似文献
17.
V. I. Malykhin 《Mathematical Notes》1998,64(5):607-615
The presence of disjoint dense (Borel) subsets in Tychonoff cubes, Borel subspaces of Tychonoff cubes, and dyadic compacta
is examined. Several problems are stated.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 701–712, November, 1998.
The author wishes to express his gratitude to V. Shchigolev for fruitful discussion of some questions touched upon in this
paper and to the referee for valuable comments and suggestions concerning the style and the content.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01619. 相似文献
18.
Alexander Brudnyi 《Compositio Mathematica》2001,127(1):69-81
Let M be a projective manifold, p: M
G
M a regular covering over M with a free Abelian transformation group G. We describe the holomorphic functions on M
G of an exponential growth with respect to the distance defined by a metric pulled back from M. As a corollary, we obtain Cartwright and Liouville-type theorems for such functions. Our approach brings together the L
2 cohomology technique for holomorphic vector bundles on complete Kähler manifolds and the geometric properties of projective manifolds. 相似文献
19.
M. Villarini 《Journal of Mathematical Analysis and Applications》2011,373(2):521-534
We study families of holomorphic vector fields, holomorphically depending on parameters, in a neighborhood of an isolated singular point. When the singular point is in the Poincaré domain for every vector field of the family we prove, through a modification of classical Sternberg's linearization argument, cf. Nelson (1969) [7] too, analytic dependence on parameters of the linearizing maps and geometric bounds on the linearization domain: each vector field of the family is linearizable inside the smallest Euclidean sphere which is not transverse to the vector field, cf. Brushlinskaya (1971) [2], Ilyashenko and Yakovenko (2008) [5] for related results. We also prove, developing ideas in Martinet (1980) [6], a version of Brjuno's Theorem in the case of linearization of families of vector fields near a singular point of Siegel type, and apply it to study some 1-parameter families of vector fields in two dimensions. 相似文献
20.
Daniel Lehmann 《Annals of Global Analysis and Geometry》1994,12(1):109-122
LetX
1 andX
2 be two holomorphic vector fields on a manifoldV with complex dimensionp. Assume that they have the same singular set . For all
, it is known (after Chern-Bott) that each of the vector fields defines a residual characteristic classC
1(V,X
1)(resp.C
1(V,X
2)) inH
2p
(V, V-), which is a lift of the usual characteristic classC
1
(V) of the tangent bundle. The differenceC
1
(V,X
2)-C
1
(V,X
1) belongs then to the image of in the exact sequence. In fact, there exists a canonical liftC
1
(V,X
1,X
2) of this difference inH
2p–1(V-): we will call itthe residual class of order 2 (associated toI, X
1 andX
2). This class is localized near the points whereX
1 andX
2 are colinear: we will explain this precisely in terms of Grothendieck residues. The formula that we obtain can be interpreted as a generalization of the purely algebraic identity, obtained from the general one as a byproduct: where (
1, , p) and (
1,,
p
) denote two families of non-zero complex numbers, such that all denominators in this formula do not vanish. (This identity corresponds in fact to the case whereX
1 andX
2 are non-degenerate at the same isolated singular point.)If the
i
's (1ip) depend now differentiably (resp. holomorphically) on a real (resp. complex) parametert then, denoting by the derivative with respect tot, and assuming all numbers lying in a denominator not to be 0, we can deduce from the above identity the following derivation formula: 相似文献