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1.
Matthew A. Papanikolas 《Compositio Mathematica》2000,122(3):299-313
Let
be the rational function field with finite constant field and characteristic
, and let K/k be a finite separable extension. For a fixed place v of k and an elliptic curve E/K which has ordinary reduction at all places of K extending v, we consider a canonical height pairing
which is symmetric, bilinear and Galois equivariant. The pairing
for the infinite place of k is a natural extension of the classical Néron–Tate height. For v finite, the pairing
plays the role of global analytic p-adic heights. We further determine some hypotheses for the nondegeneracy of these pairings. 相似文献
2.
For 1/p+1/q1, we study the closed ideal
formed by the (c
o
,p,q)-summing operators. It turns out thatT:XY does not belong to
if and only if it factors the mapId:l
p
*l
q
. By localization, we get the ideal
that consists of those operatorsT for which all ultrapowersT
u
are contained in
. Operators in the complement of
are characterized by the property that they factor the mapsId:l
p
*n
l
q
n
uniformly. Our main tools are ideal norms.Supported by DFG grant PI 322/1-2 相似文献
3.
4.
Bin Wang 《Compositio Mathematica》1999,115(3):303-327
Let X be an m dimensional smooth projective variety with a Kähler metric. We construct a metrized line bundle
with a rational section s over the product
of Chow varieties
such that
for disjoint A, B. That gives an answer to a part of Barry Mazur's proposal in a private communication to Bruno Horris about the Archimedean height pairing A, B on a smooth projective variety X. 相似文献
5.
Bernard Krötz 《Compositio Mathematica》2001,125(2):155-191
If G is a semisimple Lie group and (,
) an irreducible unitary representation of G with square integrable matrix coefficients, then there exists a number d() such that
The constant d() is called the formal dimension of (,
) and was computed by Harish-Chandra in [HC56, 66]. If now HG is a semisimple symmetric space and (,
) an irreducible H-spherical unitary (,
) belonging to the holomorphic discrete series of HG, then one can define a formal dimension d() in an analogous manner. In this paper we compute d() for these classes of representations. 相似文献
6.
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
7.
A. Cossidente J. W. P. Hirschfeld G. Korchmáros F. Torres 《Compositio Mathematica》2000,121(2):163-181
The number N of rational points on an algebraic curve of genus g over a finite field
satisfies the Hasse–Weil bound
. A curve that attains this bound is called maximal. With
and
, it is known that maximalcurves have
. Maximal curves with
have been characterized up to isomorphism. A natural genus to be studied is
and for this genus there are two non-isomorphic maximal curves known when
. Here, a maximal curve with genus g
2 and a non-singular plane model is characterized as a Fermat curve of degree
. 相似文献
8.
Arlene A. Pascasio Cheryl E. Praeger Blessilda P. Raposa 《Designs, Codes and Cryptography》1996,8(1-2):173-179
We show that a non-symmetric nearly triply regular
designD with
and in which every line has at least q points is AG(n,q) for prime power q > 2 and positiveinteger n 3. 相似文献
9.
Let X be an open subset of
n and (f1, ...,fp): X
p be a holomorphic mapping. We prove that if (x0,0, 0) T* ×
p does not belong to the characteristic variety of the
X []-module
X[]f, then there exists a conic neighborhood V × of (x0, 0) such the function
is rapidely decreasing in | Im | for with Re bounded, for any (n,n)-form of class C with compact support in V. The following partial converse of this result is also established: if
for all (n,n)-forms of class C with compact support in X, then
. 相似文献
10.
E. Getzler 《Compositio Mathematica》2002,132(2):121-135
We calculate the Euler characteristics of the local systems S
k
S
2
on the moduli space
2 of curves of genus 2, where
is the rank 4 local system R
1 *
. 相似文献
11.
We study Banach spaces of the form
We call such a space a p-space, p[1,), if for every k the space
is isomorphic to pk and the sequence (pk) strictly decreases to p. We examine the finite block representability of the spaces r in a p-space proving that it depends not only on p but also on the sequences (pk) and (nk). Assuming that i ni
1/q decreases to 0, where q is the conjugate exponent of p, we prove the existence of an asymptotic biorthogonal system in X and also that c
0 is finitely representable in X. Moreover we investigate the modified versions of p-spaces proving that, if nkm1/pkm-1/pkm-1 increases to infinity for a subsequence (nkm) , then 1 embeds into X. We also investigate complemented minimality for the class of spaces
where
is either a subsequence of the sequence of Schreier classes (
n)n N or a subsequence of (
n)n N. 相似文献
12.
13.
Let M
R
be a faithful multiplication module, where R is a commutative ring. As defined by Anderson,
this ideal has proved to be useful in studying multiplication modules. First of all a cancellation law involving M and the ideals contained in
is proved. Among various applications given, the following result is proved:: There exists a canonical isomorphism
from
onto
such that for any ( Hom R(M,M), x ( M, a ( (M), (xa) = x.(()(a). As an application of this later result it is proved that M is quasi-injective if and only if (M) is quasi-injective. 相似文献
14.
15.
A (k,n)-arc in PG(2,q) is usually defined to be a set
of k points in the plane such that some line meets
in n points but such that no line meets
in more than n points. There is an extensive literature on the topic of (k,n)-arcs. Here we keep the same definition but allow
to be a multiset, that is, permit
to contain multiple points. The case k=q
2+q+2 is of interest because it is the first value of k for which a (k,n)-arc must be a multiset. The problem of classifying (q
2+q+2,q+2)-arcs is of importance in coding theory, since it is equivalent to classifying 3-dimensional q-ary error-correcting codes of length q
2+q+2 and minimum distance q
2. Indeed, it was the coding theory problem which provided the initial motivation for our study. It turns out that such arcs are surprisingly rich in geometric structure. Here we construct several families of (q
2+q+2,q+2)-arcs as well as obtain some bounds and non-existence results. A complete classification of such arcs seems to be a difficult problem. 相似文献
16.
For suitable positive integers n and k let m(n, k) denote the maximum number of edges in a graph of order n which has a unique k-factor. In 1964, Hetyei and in 1984, Hendry proved
for even n and
, respectively. Recently, Johann confirmed the following conjectures of Hendry:
for
and kn even and
for n = 2kq, where q is a positive integer. In this paper we prove
for
and kn even, and we determine m(n, 3). 相似文献
17.
Let = (1,...,d) be a vector with positive components and let D be the corresponding mixed derivative (of order j with respect to the jth variable). In the case where d > 1 and 0 < k < r are arbitrary, we prove that
and
for all
Moreover, if
is the least possible value of the exponent in this inequality, then
Deceased.Translated from Ukrainskyi Matematychnyi Zhurnal, Vol. 56, No. 5, pp. 579–594, May, 2004. 相似文献
18.
Chang Jen-Chun Chen Rong-Jaye Hwang Frank K. 《Methodology and Computing in Applied Probability》2001,3(4):379-386
A d-within-consecutive-k-out-of-n system, abbreviated as Con(d, k, n), is a linear system of n components in a line which fails if and only if there exists a set of k consecutive components containing at least d failed ones. So far the fastest algorithm to compute the reliability of Con(d, k, n) is Hwang and Wright's
algorithm published in 1997, where
. In this paper we use automata theory to reduce
to
. For d small or close to k, we have reduced
from exponentially many (in k) to polynomially many. The computational complexity of our final algorithm is
, where
. 相似文献
19.
K. ONO 《Compositio Mathematica》1997,106(3):349-360
If E is an elliptic curve over
, then let E(D) denote theD-quadratic twist of E. It is conjectured that there are infinitely many primesp for which E(p) has rank 0, and that there are infinitely many primes
for which
has positive rank. For some special curvesE we show that there is a set S of primes p with density
for which if
is a squarefree integer where
, then E(D) has rank 0. In particular E(p) has rank 0 for every
. As an example let E1 denote the curve
.Then its associated set of primes S1 consists of the prime11 and the primes p for which the order of the reduction ofX0(11) modulo p is odd. To obtain the general result we show for primes
that the rational factor of L(E(p),1) is nonzero which implies thatE(p) has rank 0. These special values are related to surjective
Galois representations that are attached to modularforms. Another example of this result is given, and we conclude with someremarks regarding the existence of positive rank prime twists via polynomialidentities. 相似文献
20.
Y. Rakotondratsimba 《Acta Mathematica Hungarica》2000,86(3):213-236
A sufficient condition on nonnegative double-sequences
is derived in order that the two-dimensional discrete Hardy operator His bounded from
into
whenever 1 < p q < . 相似文献