共查询到20条相似文献,搜索用时 31 毫秒
1.
B. Doug Park 《Proceedings of the American Mathematical Society》2000,128(10):3057-3065
We construct exotic and as a corollary of recent results of I. Dolgachev and C. Werner concerning a numerical Godeaux surface. We also construct another exotic using the surgery techniques of R. Fintushel and R. J. Stern. We show that these 4-manifolds are irreducible by computing their Seiberg-Witten invariants.
2.
B. Doug Park 《Proceedings of the American Mathematical Society》2000,128(10):3067-3073
We construct exotic and using the surgery techniques of R. Fintushel and R.J. Stern. We show that these 4-manifolds are irreducible by computing their Seiberg-Witten invariants.
3.
Hidefumi Ohsugi Takayuki Hibi 《Proceedings of the American Mathematical Society》2002,130(7):1913-1922
Let be one of the root systems , , and and write for the set of positive roots of together with the origin of . Let denote the Laurent polynomial ring over a field and write for the affine semigroup ring which is generated by those monomials with , where if . Let denote the polynomial ring over and write for the toric ideal of . Thus is the kernel of the surjective homomorphism defined by setting for all . In their combinatorial study of hypergeometric functions associated with root systems, Gelfand, Graev and Postnikov discovered a quadratic initial ideal of the toric ideal of . The purpose of the present paper is to show the existence of a reverse lexicographic (squarefree) quadratic initial ideal of the toric ideal of each of , and . It then follows that the convex polytope of the convex hull of each of , and possesses a regular unimodular triangulation arising from a flag complex, and that each of the affine semigroup rings , and is Koszul. 相似文献
4.
Dimitrios Poulakis 《Proceedings of the American Mathematical Society》2003,131(5):1357-1359
Let be an irreducible affine curve of (geometric) genus 0 defined by a finite family of polynomials having integer coefficients. In this note we give a necessary and sufficient condition for to possess infinitely many integer points, correcting a statement of J. H. Silverman (Theoret. Comput. Sci., 2000).
5.
Rosario Strano 《Proceedings of the American Mathematical Society》2004,132(3):649-658
We characterize the curves in that are minimal in their biliaison class. Such curves are exactly the curves that do not admit an elementary descending biliaison. As a consequence we have that every curve in can be obtained from a minimal one by means of a finite sequence of ascending elementary biliaisons.
6.
Dan Popovici Zoltá n Sebestyé n 《Proceedings of the American Mathematical Society》2004,132(4):1029-1035
Given a family of vectors in a Hilbert space we characterize the existence of a family of commuting contractions on having regular dilation and such that
The theorem is a multi-dimensional analogue for some well-known operator moment problems due to Sebestyén in case or, recently, to Gavruta and Paunescu in case .
7.
Florian Heß Sebastian Pauli Michael E. Pohst. 《Mathematics of Computation》2003,72(243):1531-1548
Let be a global field with maximal order and let be an ideal of . We present algorithms for the computation of the multiplicative group of the residue class ring and the discrete logarithm therein based on the explicit representation of the group of principal units. We show how these algorithms can be combined with other methods in order to obtain more efficient algorithms. They are applied to the computation of the ray class group modulo , where denotes a formal product of real infinite places, and also to the computation of conductors of ideal class groups and of discriminants and genera of class fields.
8.
Steven D. Taliaferro Lei Zhang 《Proceedings of the American Mathematical Society》2003,131(9):2895-2902
We study the conformal scalar curvature problem
where is a continuous function. We show that a necessary and sufficient condition on for this problem to have positive solutions which are arbitrarily large at is that be less than 1 on a sequence of points in which tends to .
where is a continuous function. We show that a necessary and sufficient condition on for this problem to have positive solutions which are arbitrarily large at is that be less than 1 on a sequence of points in which tends to .
9.
Beatriz Abadie 《Transactions of the American Mathematical Society》2000,352(12):5767-5780
We embed the quantum Heisenberg manifold in a crossed product -algebra. This enables us to show that all tracial states on induce the same homomorphism on , whose range is the group .
10.
Chao-Nien Chen L. F. Cheung Y. S. Choi C. K. Law 《Transactions of the American Mathematical Society》2002,354(12):5087-5110
Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blow-up for the heat flow of harmonic maps from (a unit ball in ) to (a unit sphere in ) under certain initial and boundary conditions. We generalize this result to the case of -harmonic map heat flow from to . In contrast to the previous case, our governing parabolic equation is quasilinear and degenerate. Technical issues such as the development of a new comparison theorem have to be resolved.
11.
A. Carbery C. Kenig S. Ziesler 《Proceedings of the American Mathematical Society》2007,135(6):1905-1914
We investigate restriction theorems for hypersurfaces of revolution in with affine curvature introduced as a mitigating factor. Abi-Khuzam and Shayya recently showed that a Stein-Tomas restriction theorem can be obtained for a class of convex hypersurfaces that includes the surfaces We enlarge their class of hypersurfaces and give a much simplified proof of their result.
12.
Shinji Adachi Kazunaga Tanaka 《Proceedings of the American Mathematical Society》2000,128(7):2051-2057
We study Trudinger type inequalities in and their best exponents . We show for , ( is the surface area of the unit sphere in ), there exists a constant such that
for all . Here is defined by
It is also shown that with is false, which is different from the usual Trudinger's inequalities in bounded domains.
13.
Paul Taylor 《Transactions of the American Mathematical Society》2007,359(4):1403-1432
The generalized Bochner-Riesz operator may be defined as where is an appropriate distance function and is the inverse Fourier transform. The behavior of on is described for , a rough distance function. We conjecture that this operator is bounded on when and , and unbounded when . This conjecture is verified for large ranges of .
14.
David Hoffman Jorge H. S. de Lira Harold Rosenberg 《Transactions of the American Mathematical Society》2006,358(2):491-507
The subject of this paper is properly embedded surfaces in Riemannian three manifolds of the form , where is a complete Riemannian surface. When , we are in the classical domain of surfaces in . In general, we will make some assumptions about in order to prove stronger results, or to show the effects of curvature bounds in on the behavior of surfaces in .
15.
We prove a family of identities that involve the solution to the following Cauchy problem: and the -norm of the initial datum . As a consequence of these identities we shall deduce a lower bound for the local smoothing estimate proved by Constantin and Saut (1989), Sjölin (1987) and Vega (1988) and a uniqueness criterion for the solutions to the Schrödinger equation.
16.
Pavel Shvartsman 《Transactions of the American Mathematical Society》2008,360(10):5529-5550
We study a variant of the Whitney extension problem (1934) for the space . We identify with a space of Lipschitz mappings from into the space of polynomial fields on equipped with a certain metric. This identification allows us to reformulate the Whitney problem for as a Lipschitz selection problem for set-valued mappings into a certain family of subsets of . We prove a Helly-type criterion for the existence of Lipschitz selections for such set-valued mappings defined on finite sets. With the help of this criterion, we improve estimates for finiteness numbers in finiteness theorems for due to C. Fefferman.
17.
Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin 《Transactions of the American Mathematical Society》2006,358(3):1165-1185
We study large time asymptotics of small solutions to the Cauchy problem for nonlinear damped wave equations with a critical nonlinearity
where 0,$"> and space dimensions . Assume that the initial data
where \frac{n}{2},$"> weighted Sobolev spaces are
Also we suppose that
where
Then we prove that there exists a positive such that the Cauchy problem above has a unique global solution satisfying the time decay property
for all 0,$"> where
where 0,$"> and space dimensions . Assume that the initial data
where \frac{n}{2},$"> weighted Sobolev spaces are
Also we suppose that
0,\int u_{0}\left( x\right) dx>0, \end{displaymath}">
where
Then we prove that there exists a positive such that the Cauchy problem above has a unique global solution satisfying the time decay property
for all 0,$"> where
18.
Sorin Dumitrescu 《Geometriae Dedicata》2012,160(1):71-90
We study locally homogeneous rigid geometric structures on surfaces. We show that a locally homogeneous projective connection on a compact surface is flat. We also show that a locally homogeneous unimodular affine connection ${\nabla}$ on a two dimensional torus is complete and, up to a finite cover, homogeneous. Let ${\nabla}$ be a unimodular real analytic affine connection on a real analytic compact connected surface M. If ${\nabla}$ is locally homogeneous on a nontrivial open set in M, we prove that ${\nabla}$ is locally homogeneous on all of M. 相似文献
19.
Given a function ψ in
the affine (wavelet) system generated by ψ, associated to an invertible matrix a and a lattice Γ, is the collection of functions
In this paper we prove that the set of functions generating affine systems that are a Riesz basis of
${\cal L}^2({\Bbb R}^d)$ is dense in We also prove that a stronger result is true for affine systems that are a frame of
In this case we show that the generators associated to a fixed but arbitrary dilation are a dense set. Furthermore, we analyze
the orthogonal case in which we prove that the set of generators of orthogonal (not necessarily complete) affine systems,
that are compactly supported in frequency, are dense in the unit sphere of
with the induced metric. As a byproduct we introduce the p-Grammian of a function and prove a convergence result of this
Grammian as a function of the lattice. This result gives insight in the problem of oversampling of affine systems. 相似文献
20.
Hongming Ding 《Transactions of the American Mathematical Society》2007,359(7):3239-3250
We obtain the differential equation and recurrence relations satisfied by the Laguerre functions on an arbitrary symmetric cone .