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1.
A geometric proof of Matsuki duality for orbits on real and complex flag mani- folds is given. This is achieved by analyzing
the gradient flow of the norm-squared of a moment map.
Received: 19 April 2002 / Revised version: 12 July 2002
Mathematics Subject Classification (2000): Primary 22F30; Secondary 14M15, 22E46, 32M10, 53C55 相似文献
2.
Starting from the definition of `amorphous set' in set theory without the axiom of choice, we propose a notion of rank (which
will only make sense for, at most, the class of Dedekind finite sets), which is intended to be an analogue in this situation
of Morley rank in model theory.
Received: 22 September 2000 / Revised version: 14 May 2002 Published online: 19 December 2002
The research of the first author was supported by the SERC.
Mathematics Subject Classification (2000): 03E25
Key words or phrases: Rank – Degree – Amorphous 相似文献
3.
Sándor Jenei 《Archive for Mathematical Logic》2003,42(5):489-514
We generalize the notions of Girard algebras and MV-algebras by introducing rotation-invariant semigroups. Based on a geometrical
characterization, we present five construction methods which result in rotation-invariant semigroups and in particular, Girard
algebras and MV-algebras. We characterize divisibility of MV-algebras, and point out that integrality of Girard algebras follows
from their other axioms.
Received: 7 January 2002 / Revised version: 4 April 2002 /
Published online: 19 December 2002
RID="*"
ID="*" Supported by the National Scientific Research Fund Hungary (OTKA F/032782).
Mathematics Subject Classification (2000): 20M14, 06F05
Key words or phrases: Residuated lattice – Conjunction for non-classical logics 相似文献
4.
New multiplicative and statistically self-similar measures μ are defined on ℝ as limits of measure-valued martingales. Those
martingales are constructed by multiplying random functions attached to the points of a statistically self-similar Poisson
point process defined in a strip of the plane. Several fundamental problems are solved, including the non-degeneracy and the
multifractal analysis of μ. On a bounded interval, the positive and negative moments of diverge under broad conditions.
First received: 14 September 1999 / Resubmited: 27 June 2001 / Revised version: 30 May 2002 / Published online: 30 September
2002
Mathematics Subject Classification (2002): 28A80, 60G18, 60G44, 60G55, 60G57
Key words or phrases: Random measures – Multifractal analysis – Continuous time martingales – Statistically self-similar Poisson point processes 相似文献
5.
Arnaud Beauville 《manuscripta mathematica》2003,110(3):343-349
Let C be a curve of genus g and L a line bundle of degree 2g on C. Let ML be the kernel of the evaluation map . We show that when L is general enough, the rank g bundle ML and its exterior powers are stable, but admit a reducible theta divisor.
Received: 16 September 2002 / Revised version: 29 October 2002 Published online: 14 February 2003
Mathematics Subject Classification (2000): 14H60 相似文献
6.
Christophe Dupont 《manuscripta mathematica》2003,111(3):357-378
We describe the attracting basins of the origin in ℂ
k+1
for the polynomial lifts of Lattès examples. We show that the boundary of these bounded pseudoconvex domains is a quotient
of a compact spherical hypersurface, and we describe the singularities that appear. These domains are surprising, because
they are very close to the ball, and admit non injective proper holomorphic self-maps. We also explicit some Lattès examples
in dimension 2.
Received: 17 October 2002 / Revised version: 7 February 2003
Published online: 19 May 2003
Mathematics Subject Classification (2000): 14K25, 32S25, 32T99, 32H50 相似文献
7.
We define the contact boundary of a complex polynomial f : ℂ
n
→ ℂ as the intersection of some generic fiber with a large sphere. We show that, up to contact isotopy, this does not depend
on the choice of the fiber (provided it is generic) and is invariant under polynomial automorphism of ℂ
n
. We next prove that the formal homotopy class of this contact boundary is invariant in a large family of deformations of
polynomials, which are not necessarily topologically trivial.
Received: 15 November 2002
Published online: 20 March 2003
Mathematics Subject Classification (2000): 32S55, 53D15, 32S50 相似文献
8.
Via the Linking Theorem and Pseudo-index theory, we consider the existence and multiplicity of nontrivial solutions for a
class of elliptic problems in all of ℝ
N
with indefinite linear part involving resonance and non-resonance at any eigenvalue.
Received: 9 September 2002 / Revised version: 14 February 2003
Published online: 24 April 2003
Mathematics Subject Classification (2000): 35J20, 35J70 相似文献
9.
Patrick J. Rabier 《manuscripta mathematica》2002,109(4):493-509
We show that if P ℂ[X, Y] is nonconstant, the set K
∞
(P) of points where the Malgrange condition fails to hold coincides with the roots of a constructible polynomial in one variable.
This strengthens weaker related results in the literature. The proof given here is purely analytical and bypasses the algebraic
and topological arguments involved in other approaches. Applications to both the real and complex Jacobian Conjectures and
to the reducibility of P-z are discussed.
Received: 11 October 2001 / Revised version: 2 April 2002
Mathematics Subject Classification (2000): 12D05, 14D06, 14R15, 32B10 相似文献
10.
In this article we investigate algebraic morphisms between toric varieties. Given presentations of toric varieties as quotients
we are interested in the question when a morphism admits a lifting to these quotient presentations. We show that this can
be completely answered in terms of invariant divisors. As an application we prove that two toric varieties, which are isomorphic
as abstract algebraic varieties, are even isomorphic as toric varieties. This generalizes a well-known result of Demushkin
on affine toric varieties.
Received: 11 March 2002 / Revised: 14 June 2002
Mathematics Subject Classification (2000): 14M25, 14L30 相似文献
11.
We explain, in a non technical way, several general methods for constructing semi-universal deformations, especially by Kuranshi
maps. Moreover, we give (standard) criteria of universality and smoothness of the semi-universal deformation, discuss the
existence of operations on the base germ and describe intrinsically the Massey products.
Received: 27 November 2001 / Revised version: 23 September 2002 Published online: 24 January 2003
Mathematics Subject Classification (2000): 32 G 13, 14 A 22, 14 B 12, 22 E 65 相似文献
12.
Imre Patyi 《Mathematische Annalen》2003,326(3):417-441
Let X be a complex Banach space with a countable unconditional basis, Ω⊂X pseudoconvex open, G a complex Banach Lie group. We show that a Runge–type approximation hypothesis on X, G (which we also prove for G a solvable Lie group) implies that any holomorphic cocycle on Ω with values in G can be resolved holomorphically if it can be resolved continuously.
Received: 1 March 2002 /
Published online: 28 March 2003
Mathematics Subject Classification (2000): 32L05, 32E30, 46G20
RID="*"
ID="*" Kedves Szímuskának.
RID="*"
ID="*" To my dear Wife. 相似文献
13.
Peter Jørgensen 《manuscripta mathematica》2003,110(3):381-406
Let T be a triangulated category and let X be an object of T. This paper studies the questions: Does there exist a triangulated functor G : D(ℤ) T with G(ℤ)≌X? Does there exist a triangulated functor H : T D(ℤ) with h0 ⊚ H ⋍ HomT (X, −)? To what extent are G and H unique?
One spin off is a proof that the homotopy category of spectra is not the stable category of any Frobenius category with set
indexed coproducts.
Received: 8 March 2002 / Revised version: 18 October 2002 Published online: 14 February 2003
Mathematics Subject Classification (2000): 18E30, 55U35 相似文献
14.
Let K be a field complete for a discrete valuation and with algebraically closed residue field of positive characteristic p. We prove the existence of a non-degenerate pairing between the first (flat) cohomology group of an abelian variety A
K
over K and the fundamental group of the Néron model of the dual abelian variety. This pairing extends to the p-primary components a pairing introduced by Shafarevich in [16]. We relate this pairing with Grothendieck's pairing.
Received: 7 January 2002 / Revised version: 6 December 2002
Published online: 24 April 2003
Mathematics Subject Classification (2000): 14k05, 14F20, 14G22 相似文献
15.
Jaya N. Iyer 《manuscripta mathematica》2003,111(3):277-285
In this note we give an example of an indecomposable higher Chow cycle on a special family of quartics in ℙ3. The example is obtained as an extension of a cycle in the higher Chow group CH
2
(K,1) of a singular Kummer surface.
Received: 19 June 2002 / Revised version: 17 October 2002
Published online: 24 April 2003
Mathematics Subject Classification (2000): 14C15, 14C25, 14H10, 14H28, 14F42 相似文献
16.
Let 𝒞⊆ℙ
r
K
be a non-degenerate projective curve of degree d>r+1 of maximal regularity so that 𝒞 has an extremal secant line . We show that 𝒞∪ is arithmetically Cohen Macaulay if d<2r−1 and we study the Betti numbers and the Hartshorne-Rao module of the curve 𝒞.
Received: 27 March 2002; in final form: 24 May 2002 /
Published online: 1 April 2003
Mathematics Subject Classification (1991): 14H45, 13D02.
The second author was partially supported by Swiss National Science Foundation (Projects No. 20-52762.97 and 20-59237.99). 相似文献
17.
We study Graver test sets for linear two-stage stochastic integer programs and show that test sets can be decomposed into
finitely many building blocks whose number is independent on the number of scenarios of the stochastic program. We present
a finite algorithm to compute the building blocks directly, without prior knowledge of test set vectors. Once computed, building
blocks can be employed to solve the stochastic program by a simple augmentation scheme, again without explicit knowledge of
test set vectors. Finally, we report preliminary computational experience.
Received: March 14, 2002 / Accepted: March 27, 2002 Published online: September 27, 2002
Key words. test sets – stochastic integer programming – decomposition methods
Mathematics Subject Classification (2000): 90C15, 90C10, 13P10 相似文献
18.
Wensheng Wang 《Probability Theory and Related Fields》2003,126(2):203-220
Kesten and Spitzer have shown that certain random walks in random sceneries converge to stable processes in random sceneries.
In this paper, we consider certain random walks in sceneries defined using stationary Gaussian sequence, and show their convergence
towards a certain self-similar process that we call fractional Brownian motion in Brownian scenery.
Received: 17 April 2002 / Revised version: 11 October 2002 /
Published online: 15 April 2003
Research supported by NSFC (10131040).
Mathematics Subject Classification (2002): 60J55, 60J15, 60J65
Key words or phrases: Weak convergence – Random walk in random scenery – Local time – Fractional Brownian motion in Brownian scenery 相似文献
19.
The quotient-cusp singularities are isolated complex surface singularities that are double-covered by cusp singularities.
We show that the universal abelian cover of such a singularity, branched only at the singular point, is a complete intersection
cusp singularity of embedding dimension 4. This supports a general conjecture that we make about the universal abelian cover
of a ℚ-Gorenstein singularity.
Received: 3 February 2001 / Revised version: 8 March 2002 /
Published online: 10 February 2003
Mathematics Subject Classification (2000): 14B05, 14J17, 32S25
This research was supported by grants from the Australian Research Council and the NSF (first author) and the the NSA (second
author). 相似文献
20.
This paper establishes an Atiyah-type characteristic class formula for both the twisted signature and the twisted L-classes of a singular space. The result, in its present form, applies to coefficient systems that satisfy a transversality
condition near the singularities. This condition is frequently automatically satisfied, e.g. on supernormal spaces or for
local systems arising in certain geometric mapping situations. We obtain applications to stratified maps by combining our
formula with the Cappell-Shaneson signature formula.
Received: 15 May 2002 / Revised version: 23 September 2002 /
Published online: 8 April 2003
Mathematics Subject Classification (2000): 32S50, 32S60, 55N25, 55N33, 55R55, 57N80, 57R20, 57R45, 58A35, 58K10
All authors supported in part by NSF grants. 相似文献