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1.
Otto Forster 《manuscripta mathematica》1985,50(1):389-396
In this note we exhibit a closed prime idealF in the ring Ó(3) of all holomorphic functions on 3 which is not finitely generated.F is the ideal of a certain irreducible curve Y3, obtained as the image of a proper holomorphic map f3.
Herrn Karl Stein gewidmet 相似文献
Herrn Karl Stein gewidmet 相似文献
2.
LetV be a finite dimensional complex linear space and letG be a compact subgroup of GL(V). We prove that an orbitG, V, is polynomially convex if and only ifG
is closed andG is the real form ofG
. For every orbitG which is not polynomially convex we construct an analytic annulus or strip inG
with the boundary inG. It is also proved that the group of holomorphic automorphisms ofG
which commute withG
acts transitively on the set of polynomially convexG-orbits. Further, an analog of the Kempf-Ness criterion is obtained and homogeneous spaces of compact Lie groups which admit only polynomially convex equivariant embeddings are characterized.Supported by Federal program Integratsiya, no. 586.Supported by INTAS grant 97/10170. 相似文献
3.
Philippe Bonnet 《Transformation Groups》2002,7(1):3-14
In this paper we establish two results concerning algebraic (,+)-actions on
n
. First, let be an algebraic (,+)-action on 3. By a result of Miyanishi, its ring of invariants is isomorphic to [t
1,t
2]. Iff
1,f
2 generate this ring, the quotient map of is the mapF:32,x(f
1(x), f2(x)). By using some topological arguments we prove thatF is always surjective. Secon, we are interested in dominant polynomial mapsF:
n
n-1
whose connected components of their generic fibers are contractible. For such maps, we prove the existence of an algebraic (,+)-action on
n
for whichF is invariant. Moreover we give some conditions so thatF*([t
1,...,t
n-1
]) is the ring of invariants of .Dedicated to all my friends and my family 相似文献
4.
We completely classify all the twistor holomorphic Lagrangian immersions in the complex projective plane 2, i.e. those Lagrangian immersions such that their twistor lifts to the twistor space over 2 are holomorphic. This classification provides a one-parameter family of examples of Lagrangian spheres in 2.Research partially supported by a DGICYT grant No. PB91-0731. 相似文献
5.
In this note we give a complete classification of those holomorphic maps :U
n
defined on open and connected subsets of
m
which are harmonic morphisms.The first author was supported by the Icelandic Science Fund. 相似文献
6.
We show that the bi-Lipschitz equivalence of analytic function germs (2, 0)(, 0) admits continuous moduli. More precisely, we propose an invariant of the bi-Lipschitz equivalence of such germs that varies continuously in many analytic families f
t
: (2, 0)(, 0). For a single germ f the invariant of f is given in terms of the leading coefficients of the asymptotic expansions of f along the branches of generic polar curve of f. 相似文献
7.
W. Ricker 《Integral Equations and Operator Theory》1985,8(2):276-288
LetT be a continuous scalar-type spectral operator defined on a quasi-complete locally convex spaceX, that is,T=fdP whereP is an equicontinuous spectral measure inX andf is aP-integrable function. It is shown that (T) is precisely the closedP-essential range of the functionf or equivalently, that (T) is equal to the support of the (unique) equicontinuous spectral measureQ
* defined on the Borel sets of the extended complex plane * such thatQ
*({})=0 andT=zdQ
*(z). This result is then used to prove a spectral mapping theorem; namely, thatg((T))=(g(T)) for anyQ
*-integrable functiong: * * which is continuous on (T). This is an improvement on previous results of this type since it covers the case wheng((T))/{} is an unbounded set in a phenomenon which occurs often for continuous operatorsT defined in non-normable spacesX. 相似文献
8.
Krzysztof Burdzy 《Probability Theory and Related Fields》1989,81(4):485-505
Summary Let A be the set of all points of the plane , visited by 2-dimensional Brownian motion before time 1. With probability 1, all points of A are twist points except a set of harmonic measure zero. Twist points may be continuously approached in \A only along a special spiral. Although negligible in the sense of harmonic measure, various classes of cone points are dense in A, with probability 1. Cone points may be approached in \A within suitable wedges.Research supported in part by NSF Grant DMS 8419377 相似文献
9.
Michael Kapovich 《Inventiones Mathematicae》1995,119(1):243-265
Summary We prove that for any nonelementary representation : 1(S SL (2, )) of the fundamental group of a closed orientable hyperbolic surfaceS there exists a complex projective structure onS with the monodromy .Oblatum IV-1993 & 24-IV-1994 相似文献
10.
We begin with a review of the known examples of compact totally realn-dimensional submanifolds of
n
. We then construct some new families of examples, including some which are simply connected. We conclude by using these examples to construct bounded domains of holomorphy in
n
whose universal covering spaces are not biholomorphically equivalent to domains in
n
.Herrn Prof. Dr. Karl Stein gewidmetResearch supported in part by Grant MCS 8301142 from the National Science FoundationResearch supported in part by Grant MCS 8219229 from the National Science Foundation 相似文献
11.
Hajo Luers 《Analysis Mathematica》1988,14(2):175-184
(1–)
+
, — R
n
=R
j
×R
k
, ()=max{¦
1¦, ¦
1¦},=(
1,
2),
1R
J
,
2R
k
,j,k1,n=j+k. n=3 , (1–)
+
[L
1(R
n
)]1, >1/2; j=4, (1–)
+
R L
p
(R
n
).
.
The author would like to thank Professor W. Trebels for encouragement and valuable advice. 相似文献
The author would like to thank Professor W. Trebels for encouragement and valuable advice. 相似文献
12.
Krzysztof Ciesielski 《Periodica Mathematica Hungarica》1995,31(1):11-20
In the paper we prove that the complex analytic functions are (ordinarily) density continuous. This stays in contrast with the fact that even such a simple function asG:22,G(x,y)=(x,y
3
), is not density continuous [1]. We will also characterize those analytic functions which are strongly density continuous at the given pointa . From this we conclude that a complex analytic functionf is strongly density continuous if and only iff(z)=a+bz, wherea, b andb is either real or imaginary. 相似文献
13.
Christian Okonek 《manuscripta mathematica》1982,38(2):175-199
In this paper we begin to study 3-folds in a projective space of dimension 5. Using results from [9] we give a classification of all 3-folds in
5
, up to degree 6. There are only 3 different types of 3-folds in
5
of degree 6 which are not complete intersections. These manifolds can be represented as zero schemes of sections in certain (extremal) semistable reflexive sheaves of rank 2 on
5
. Finally we obtain examples of stable reflexive sheaves on 5 with homologieal dimension 1, which do not belong to the extremal sheaves [10].
Dies ist ein Teil meiner Habilitationsschrift 相似文献
Dies ist ein Teil meiner Habilitationsschrift 相似文献
14.
LetV be a complex hypersurface in an open subset of 3, and letM be a smooth compact real hypersurface inV. Using a theorem of Gromov we prove that there exist small C1 perturbations
ofM in 3 such that
is a totally real submanifold of 3. As a consequence we show that certain quotients of the three-sphere admit totally real embeddings into 3. In some special cases including the real projective three-space we find explicit totally real embeddings into 3. Our construction is similar to that of Ahern and Rudin who found a totally real embedding of the three-sphere into 3.Research supported by a fellowship from the Alfred P. Sloan foundation 相似文献
15.
Systematic studies are made of three algebraic structures of quantum projective [sl(2, )-invariant] field theory: the operator algebra Vert(sl(2, )), the infinite-dimensionalR matrixR
proj(u), and the deformationT
() of the algebraT() of weighted-shift operators, which is associated with expansion of the renormalized pointwise product of vertex operator fields.State Geological and Prospecting Academy, Moscow; Department of Mathematics in the Research Institute of System Investigations (Information Technologies), Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 97, No. 3, pp. 336–347, December, 1993. 相似文献
16.
Ulrike Tillmann 《K-Theory》1992,6(1):57-86
TheK-theory of the group algebra [] for a countable, discrete group is defined in terms of the simplicial ring of smooth simplices on [], where [] is given the fine topology with respect to its finite-dimensional, linear subspaces. The assembly map for this theory :K
*
B K
* [] is studied and shown to be a rational injection. The proof uses the Connes-Karoubi Chern character fromK-theory of Banach algebras to cyclic homology, here generalized to any fine topological algebra, and proved to be multiplicative. 相似文献
17.
We show that a closed 4-dimensional simply connected topological manifoldM admits a differentiable structure with aC
Riemannian metric whose geodesic flow has zero topological entropy if and only ifM is homeomorphic toS
4, 2,S
2×S
2,
or 2#2. 相似文献
18.
R. J. Bagby 《Analysis Mathematica》1982,8(1):3-8
(, ) — R
m
×R
n
. f R
m
×R
n
fp,q, f L
p
(R
m) x y, Lq(Rn). ׃
q,r
cƒ
p,r
, ׃ R
m
×R
n
, , , q r . , ( ¦¦) K
0
(y); p, g r , K
0. 相似文献
19.
Nobuaki Obata 《Monatshefte für Mathematik》1997,124(4):317-335
Let
be a barreled locally convex space. A continuous operator on
is called anequicontinuous generator if {
n
/n!;n=0,1,2,...} is an equicontinuous family of operators. For each equicontinuous generator a one-parameter group of operators is constructed by means of power series. There is a one-to-one correspondence between the equicontinuous generators and the locally equicontinuous holomorphic one-parameter groups of operators. If two equicontinuous generators 1, 2 satisfy [1,2]=2 for some thena1+b2 is also an equicontinuous generator for anya, b. These general results are applied to a study of operators on white noise functions. In particular, a linear combination of the number operator and the Gross Laplacian, which are natural infinite dimensional analogues of a finite dimensional Laplacian, is always an equicontinuous generator. This result contributes to the Cauchy problems in white noise (Gaussian) space.Work supported by Alexander von Humboldt-Stiftung and Japan Society for Promotion of Sciences 相似文献
20.
Richard Bödi 《Geometriae Dedicata》1994,53(2):201-216
LetT be an eight-dimensional, connected, locally compact ternary field and let denote a connected closed Lie subgroup of its automorphism group which is taken with the compact-open topology. It is proved that if the ternary fixed fieldF
of is connected, then is either isomorphic to one of the compact Lie groupsG
2 or SU3, or the (covering) dimension of is at most 7. 相似文献