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1.
Bohdan Zelinka 《Czechoslovak Mathematical Journal》2002,52(1):11-16
Generalized Petersen graphs are certain graphs consisting of one quadratic factor. For these graphs some numerical invariants concerning the domination are studied, namely the domatic number
, the total domatic number
and the
-ply domatic number
for
and
. Some exact values and some inequalities are stated. 相似文献
2.
GÉRARD Laumon 《Compositio Mathematica》1997,105(3):267-359
In this paper we compute the cohomology with compact supports of a Siegelthreefold as a virtual module over the product of the Galois group of
over
and the Hecke algebra. We use a method which has been developed by Ihara, Langlands and Kottwitz: comparison of the Grothendieck--Lefschetz formula and the Arthur--Selberg trace formula. 相似文献
3.
With the help of some new results about weight enumerators of self-dual codes over
we investigate a class of double circulant codes over
, one of which leads to an extremal even unimodular 40–dimensional lattice. It is conjectured that there should be Nine more constructions of the Leech lattice 相似文献
4.
V. F. Murzina 《Algebra and Logic》2003,42(3):181-191
A modal logic associated with the
-spaces introduced by Ershov is examined. We construct a modal calculus that is complete w.r.t. the class of all strictly linearly ordered
-frames, and the class of all strictly linearly ordered
-frames. 相似文献
5.
Let X be a complex analytic manifold,
a C
2 submanifold,
an openset with C
2 boundary
.Denote by
(resp.
) the microlocalization along M (resp.
) of the sheaf
of holomorphic functions.In the literature (cf. [A-G], [K-S 1,2])one encounters two classical results concerning the vanishing of the cohomology groups
.The most general gives the vanishing outside a range of indices j whose length is equal to
(with
being the number of respectively positive, negative and null eigenvalues for themicrolocal Levi form
).The sharpest result gives the concentration in a single degree, provided that the difference
is locally constant for
near p (with
for z the base point of p).The first result was restated for the complex
in [D'A-Z 2], in the case codim
We extend it here to any codimension and moreover we also restate for
the second vanishing theorem.We also point out that the principle of our proof, related to a criterion for constancy of sheaves due to [K-S 1], is a quite new one. 相似文献
6.
Let
be an Abelian Archimedean lattice ordered algebra. The order bidual
furnished with the Arens product is again a lattice ordered algebra. We show that the order continuous order bidual
is Abelian. This solves an open problem and improves a result of Scheffold, who proved it for the case of normed lattice ordered algebras. The proof is based on the up-down-up approximation of positive elements in the order continuous order bidual
by elements in the canonical image
of
in
Components of positive elements in
are characterized and the result is applied to the Arens product of
-and almost
-algebras. 相似文献
7.
We show that, under conditions about the microcharacteristic variety of a coherent
-module, the Cauchy problem is well-posed in the spaces of formal power series with Gevrey growth. We deduce that the filtration of the Irregularity Sheaf of a holonomic
-module, which we defined in a previous work, is preserved under inverse image if some rather general geometric conditions are fullfilled. 相似文献
8.
P. M. G. Manchón 《Czechoslovak Mathematical Journal》2002,52(1):1-9
In this paper we study the hypersurfaces
given as connected compact regular fibers of a differentiable map
, in the cases in which
has finitely many nondegenerate critical points in the unbounded component of
. 相似文献
9.
Dražen Adamović 《Algebras and Representation Theory》2004,7(4):457-469
Let
be the affine Lie algebra associated to the simple finite-dimensional Lie algebra
. We consider the tensor product of the loop
-module
associated to the irreducible finite-dimensional
-module V() and the irreducible highest weight
-module L
k,. Then L
k, can be viewed as an irreducible module for the vertex operator algebra M
k,0. Let A(L
k,) be the corresponding
-bimodule. We prove that if the
-module
is zero, then the
-module
is irreducible. As an example, we apply this result on integrable representations for affine Lie algebras. 相似文献
10.
In this note we study some properties concerning certain copies of the classic Banach space c
0 in the Banach space
of all bounded linear operators between a normed space X and a Banach space Y equipped with the norm of the uniform convergence of operators. 相似文献
11.
Roman Frič 《Czechoslovak Mathematical Journal》1999,49(1):111-118
The ring B(R) of all real-valued measurable functions, carrying the pointwise convergence, is a sequential ring completion of the subring C(R) of all continuous functions and, similarly, the ring
of all Borel measurable subsets of R is a sequential ring completion of the subring
of all finite unions of half-open intervals; the two completions are not categorical. We study
-rings of maps and develop a completion theory covering the two examples. In particular, the -fields of sets form an epireflective subcategory of the category of fields of sets and, for each field of sets
, the generated -field
yields its epireflection. Via zero-rings the theory can be applied to completions of special commutative
-groups. 相似文献
12.
Michael Reid 《Compositio Mathematica》2003,137(1):75-90
A refinement of the rank 1 Abelian Stark conjecture has been formulated by B.Gross. This conjecture predicts some
-adic analytic nature of a modification of the Stark unit. The conjecture makes perfect sense even when
is an Archimedean place. Here we consider the conjecture when
is a real place, and interpret it in terms of 2-adic properties of special values of L-functions. We prove the conjecture for CM extensions; here the original Stark conjecture is uninteresting, but the refined conjecture is nontrivial. In more generality, we show that, under mild hypotheses, if the subgroup of the Galois group generated by complex conjugations has less than full rank, then the refined conjecture implies that the Stark unit should be a square. This phenomenon has been discovered by Dummit and Hayes in a particular type of situation. We show that it should hold in much greater generality. 相似文献
13.
Let
be a contraction semigroup on the space of vector valued functions
(
is a Hilbert space). In order to study the extension of
to a contaction semigroup on
,
Shigekawa [Sh] studied recently the domination property
where
is a symmetric sub-Markovian semigroup on
. He gives in the setting of square field operators sufficient conditions for the above inequality. The aim of the present paper is to show that the methods of [12] and [13] can be applied in the present setting and provide two ways for the extension of
to
We give necessary and sufficient conditions in terms of sesquilinear forms for the
contractivity property
as well as for the above domination property in a more general situation. 相似文献
14.
S. V. Astashkin 《Functional Analysis and Its Applications》2003,37(3):221-224
Using new extrapolation estimates for the
- and
-functionals of couples of limit spaces of the
-scale
, we introduce a class of extrapolation functors. A characterization of this class via the real interpolation method permits one to obtain new equivalent expressions for the norms in symmetric spaces close to
and
, which depend only on the
-norms of a function. 相似文献
15.
Massimo Giulietti Fernanda Pambianco Fernando Torres Emanuela Ughi 《Designs, Codes and Cryptography》2002,25(3):237-246
We point out an interplay between
-Frobenius non-classical plane curves and complete
-arcs in
. A typical example that shows how this works is the one concerning an Hermitian curve. We present some other examples here which give rise to the existence of new complete
-arcs with parameters
and
being a power of the characteristic. In addition, for q a square, new complete
-arcs with either
and
or
and
are constructed by using certain reducible plane curves. 相似文献
16.
A. V. Kravchenko 《Algebra and Logic》2002,41(3):173-181
It is proved that a quasivariety K of undirected graphs without loops is
-universal if and only if K contains some non-bipartite graph. 相似文献
17.
O. Duman 《Czechoslovak Mathematical Journal》2007,57(1):367-375
Using the concept of
-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate
weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity
and the elements of the Lipschitz class. 相似文献
18.
Superlocals in Symmetric and Alternating Groups 总被引:1,自引:0,他引:1
D. O. Revin 《Algebra and Logic》2003,42(3):192-206
On Aschbacher's definition, a subgroup N of a finite group
is called a
-superlocal for a prime
if
. We describe the
-superlocals in symmetric and alternating groups, thereby resolving part way Problem 11.3 in the Kourovka Notebook [3]. 相似文献
19.
A nuclear space of distributions on Wiener space
was constructed by Gorostiza and Nualart [10] as a framework for studying weak convergence of trajectorial fluctuations of particle systems. A basic problem in recovering the usual time-evolution results from the trajectorial ones consists in associating in a unique way an
-valued process to a random distribution on
by localizing it at each time t
[0,1]. In this paper we solve this problem for a large class of random distributions which includes trajectorial fluctuation limits of some systems of diffusions. 相似文献
20.
D. I. Panyushev 《Functional Analysis and Its Applications》2004,38(1):38-44
Let
be a reductive Lie algebra over an algebraically closed field of characteristic zero and
an arbitrary
-grading. We consider the variety
, which is called the commuting variety associated with the
-grading. Earlier it was proved by the author that
is irreducible, if the
-grading is of maximal rank. Now we show that
is irreducible for
and (E6,F4). In the case of symmetric pairs of rank one, we show that the number of irreducible components of
is equal to that of nonzero non--regular nilpotent G
0-orbits in
. We also discuss a general problem of the irreducibility of commuting varieties. 相似文献