arXiv
(422,153 recursos)
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Mostrando recursos 101 - 120 de 66,283
101.
The homotopy principle in complex analysis: a survey - Forstneric, Franc
This is a survey on the homotopy principle in complex analysis on Stein
manifolds, also called the Oka principle in this context. We concentrate on the
following topics: the Oka-Grauert principle (classification of holomorphic
vector bundles); the homotopy principle for holomorphic mappings from Stein
manifolds and, more generally, for sections of holomorphic submersions with
sprays; question on removability of intersections of holomorphic mappings with
complex subvarieties; embeddings and immersions of Stein manifolds in affine
spaces of minimal dimension; embeddings of open Riemann surfaces in the affine
plane; noncritical holomorphic functions on Stein manifolds and the Oka
principle for holomorphic submersions of Stein manifolds to affine spaces.
102.
Strongly pseudoconvex handlebodies - Forstneric, Franc; Kozak, Jernej
We give an explicit construction of special strongly pseudoconvex domains in
C^n of handlebody type, i.e., domains which are small tubes surrounding the
union of a quadratic strongly pseudoconvex domain with an attached totally real
handle. Among other results, we give another proof of Lemma 3.4.3. from the
paper of Y. Eliashberg, "Topological characterization of Stein manifolds of
dimension $>2$", Internat. J. Math., 1 (1990), 29--46.
103.
Varieties With Ample Cotangent Bundle - Debarre, O.
We study smooth projective complex varieties with ample cotangent bundle. Our
main result is that in an abelian variety of dimension n, a complete
intersection of at least n/2 general hypersurfaces of sufficiently high degrees
has ample cotangent bundle. We discuss the conjecture that the analogous
statement should hold in the projective space. Finally, we present a
construction due to Bogomolov of varieties with ample cotangent bundle as
linear sections of a product of varieties with big cotangent bundle.
104.
Fundamental Domains in Lorentzian Geometry - Pratoussevitch, Anna
We consider discrete subgroups Gamma of the simply connected Lie group
SU~(1,1), the universal cover of SU(1,1), of finite level, i.e. the subgroup
intersects the centre of SU~(1,1) in a subgroup of finite index, this index is
called the level of the group. The Killing form induces a Lorentzian metric of
constant curvature on the Lie group SU~(1,1). The discrete subgroup Gamma acts
on SU~(1,1) by left translations. We describe the Lorentz space form
SU~(1,1)/Gamma by constructing a fundamental domain F for Gamma. We want F to
be a polyhedron with totally geodesic faces. We construct such F for all Gamma
satisfying the following condition: The image of...
105.
The spectrum of twisted Dirac operators on compact flat manifolds - Miatello, Roberto; Podesta, Ricardo
Let $M$ be an orientable compact flat Riemannian manifold endowed with a spin
structure. In this paper we determine the spectrum of Dirac operators acting on
smooth sections of twisted spinor bundles of $M$, and we derive a formula for
the corresponding eta series. In the case of manifolds with holonomy group
$\Z_2^k$, we give a very simple expression for the multiplicities of
eigenvalues that allows to compute explicitly the $\eta$-series in terms of
values of Riemann-Hurwitz zeta functions, and the $\eta$-invariant. We give the
dimension of the space of harmonic spinors and characterize all
$\Z_2^k$-manifolds having asymmetric Dirac spectrum.
Furthermore, we exhibit many examples of Dirac isospectral...
106.
Deformation of integral coisotropic submanifolds in symplectic manifolds - Ruan, Wei-Dong
In this paper we prove the unobstructedness of the deformation of integral
coisotropic submanifolds in symplectic manifolds, which can be viewed as a
natural generalization of results of Weinstein for Lagrangian submanifolds.
107.
Multiplier ideals of hyperplane arrangements - Mustata, Mircea
We compute the multiplier ideals of hyperplane arrangements via the
interpretation of these ideals in terms of spaces of arcs, due to Ein,
Lazarsfeld and the author.
108.
Convolution operator and maximal function for Dunkl transform - Thangavelu, Sundaram; Xu, Yuan
For a family of weight functions, $h_\kappa$, invariant under a finite
reflection group on $\RR^d$, analysis related to the Dunkl transform is carried
out for the weighted $L^p$ spaces. Making use of the generalized translation
operator and the weighted convolution, we study the summability of the inverse
Dunkl transform, including as examples the Poisson integrals and the
Bochner-Riesz means. We also define a maximal function and use it to prove the
almost everywhere convergence.
109.
Multiplicative properties of Atiyah duality - Cohen, Ralph L.
Let $M^n$ be a closed, connected $n$-manifold. Let $\mtm$ denote the Thom
spectrum of its stable normal bundle. A well known theorem of Atiyah states
that $\mtm$ is homotopy equivalent to the Spanier-Whitehead dual of $M$ with a
disjoint basepoint, $M_+$. This dual can be viewed as the function spectrum,
$F(M, S)$, where $S$ is the sphere spectrum. $F(M, S)$ has the structure of a
commutative, symmetric ring spectrum in the sense of \cite{hss}, \cite{ship}.
In this paper we prove that $\mtm$ also has a natural, geometrically defined,
structure of a commutative, symmetric ring spectrum, in such a way that the
classical duality maps of Alexander, Spanier-Whitehead, and...
110.
Hilbert-Kunz Functions for Normal Rings - Huneke, Craig; McDermott, Moira A.; Monsky, Paul
Let (R,m,k) be an excellent, local, normal ring of characteristic p with a
perfect residue field and dim R=d. Let M be a finitely generated R-module. We
show that there exists a real number beta(M) such that lambda(M/I^[q]M) =
e_{HK}(M) q^d + beta(M) q^{d-1} + O(q^{d-2}).
111.
Large deviations for empirical entropies of Gibbsian sources - Chazottes, J. -R.; Gabrielli, D.
The entropy of an ergodic finite-alphabet process can be computed from a
single typical sample path x_1^n using the entropy of the k-block empirical
probability and letting k grow with $n$ roughly like log n. We further assume
that the distribution of the process is a g-measure; g-measures form a large
class of Gibbs measures. We prove large deviation principles for conditional,
non-conditional and relative k(n)-block empirical entropies.
112.
Exclusion Processes with Multiple Interactions - Kovchegov, Yevgeniy
We introduce the mathematical theory of the particle systems that interact
via permutations, where the transition rates are assigned not to the jumps from
a site to a site, but to the permutations themselves. This permutation
processes can be viewed as a generalization of the symmetric exclusion
processes, where particles interact via transpositions. The duality and
coupling techniques for the processes are described, the needed conditions for
them to apply are established. The stationary distributions of the permutation
processes are explored for translation invariant cases.
113.
Covering the Baire space by families which are not finitely dominating - Mildenberger, Heike; Shelah, Saharon; Tsaban, Boaz
It is consistent (relative to ZFC) that the union of max{b,g} many families
in the Baire space which are not finitely dominating is not dominating. In
particular, it is consistent that for each nonprincipal ultrafilter U, the
cofinality of the reduced ultrapower w^w/U is greater than max{b,g}. The model
is constructed by oracle chain condition forcing, to which we give a
self-contained introduction.
114.
Sur une question de Bergweiler - Meneghini, Claudio
Nous montrons la densite des cycles repulsifs dans l'ensemble de Julia des
fonctions meromorphes transcendentes a une variable complexe, sans utiliser le
theoreme des cinq iles d'Ahlfors ni la theorie de
Nevanlinna.−−−−−We prove that repelling cycles
are dense in the Julia set of one-variable transcendental meromorphic
functions, making use nor of Ahlfors' five-island theorem, nor of Nevanlinna's
theory
115.
Linearization problem on structurally finite entire functions - Okuyama, Yûsuke
We show that if a 1-hyperbolic structurally finite entire function of type
$(p,q)$, $p\ge 1$, is linearizable at an irrationally indifferent fixed point,
then its multiplier satisfies the Brjuno condition. We also prove the
generalized Ma\~n\'e theorem; if an entire function has only finitely many
critical points and asymptotic values, then for every such a non-expanding
forward invariant set that is either a Cremer cycle or the boundary of a cycle
of Siegel disks, there exists an asymptotic value or a recurrent critical point
such that the derived set of its forward orbit contains this invariant set.
From it, the concept of $n$-subhyperbolicity naturally arises.
116.
Graph W*-probability Theory - Cho, Ilwoo
In this paper, we will consider the graph w*-probability theory.
117.
Automorphisms of the Hatcher-Thurston complex - Irmak, Elmas; Korkmaz, Mustafa
Let S be a compact, connected, orientable surface of positive genus. Let
HT(S) be the Hatcher-Thurston complex of S. We prove that Aut(HT(S)) is
isomorphic to the extended mapping class group of S modulo its center.
118.
Pluricanonical systems of projective varieties of general type II - Tsuji, Hajime
This is a revised version of the second half of my paper math.AG/9909021. We
prove that there exists a positive integer $\nu_{n}$ depending only on $n$ such
that for every smooth projective $n$-fold of general type $X$ defined over
complex numbers, $\mid mK_{X}\mid$ gives a birational rational map from $X$
into a projective space for every $m\geq \nu_{n}$.
119.
Hessian Nilpotent Polynomials and the Jacobian Conjecture - Zhao, Wenhua
Let $z=(z_1, ..., z_n)$ and $\Delta=\sum_{i=1}^n \fr {\p^2}{\p z^2_i}$ the
Laplace operator. The main goal of the paper is to show that the well-known
Jacobian conjecture without any additional conditions is equivalent to the
following what we call {\it vanishing conjecture}: for any homogeneous
polynomial $P(z)$ of degree $d=4$, if $\Delta^m P^m(z)=0$ for all $m \geq 1$,
then $\Delta^m P^{m+1}(z)=0$ when $m>>0$, or equivalently, $\Delta^m
P^{m+1}(z)=0$ when $m> \fr 32 (3^{n-2}-1)$. It is also shown in this paper that
the condition $\Delta^m P^m(z)=0$ ($m \geq 1$) above is equivalent to the
condition that $P(z)$ is Hessian nilpotent, i.e. the Hessian matrix $\Hes
P(z)=(\fr {\p^2 P}{\p z_i\p z_j})$ is nilpotent....
120.
Random Variables in Graph W*-Probability Spaces - Cho, Ilwoo
In [16], we observed the graph W*-probability theory. In this paper, we will
review [16] and introduce special amalgamated random variables in this
amalgamated W*-probability space. In particular, we will observe the
amalgamated semicircularity, amalgamated evenness and amalgamated
R-diagonality. As an example, we will compute the trivial moments and trivial
cumulants of the generating operator of the graph W*-algebra.
101.
