共查询到20条相似文献,搜索用时 15 毫秒
1.
We determine the simplicial complexes Δ whose Stanley-Reisner ideals I
Δ have the following property: for all n ≥ 1 the powers I
Δ
n
have linear resolutions and finite length local cohomologies.
Received: 10 July 2007 相似文献
2.
Pull-back of currents by holomorphic maps 总被引:1,自引:0,他引:1
We define the pull-back operator, associated to a meromorphic transform, on several types of currents. We also give a simple
proof to a version of a classical theorem on the extension of currents. 相似文献
3.
A set of positive integers is a perfect difference set if every nonzero integer has a unique representation as the difference of two elements of . We construct dense perfect difference sets from dense Sidon sets. As a consequence of this new approach we prove that there exists a perfect difference set such that
.
Also we prove that there exists a perfect difference set
such that
A(x)/≥ 1/.
The work of J. C. was supported by Grant MTM 2005-04730 of MYCIT (Spain).
The work of M. B. N. was supported in part by grants from the NSA Mathematical Sciences Program and the PSC-CUNY Research
Award Program. 相似文献
4.
Given a free resolution of an ideal a of holomorphic functions, one can construct a vector-valued residue current R , which coincides with the classical Coleff–Herrera product if a is a complete intersection ideal and whose annihilator ideal is precisely a. 相似文献
5.
We prove that the log canonical thresholds of a large class of binomial ideals, such as complete intersection binomial ideals
and the defining ideals of space monomial curves, are computable by linear programming.
Dedicated to Professor Toshiyuki Katsura on the occasion of his sixtieth birthday 相似文献
6.
We compute some algebraic invariants (e.g. depth, Castelnuovo-Mumford regularity) for a special class of monomial ideals,
namely the ideals of mixed products. As a consequence, we characterize the Cohen-Macaulay ideals of mixed products.
Received: 25 October 2007 相似文献
7.
Safyan Ahmad 《Archiv der Mathematik》2009,92(3):228-236
We study when the intersection of irreducible monomial ideals of height 2 with Cohen-Macaulay radicals are themselves Cohen-Macaulay.
Received: 4 September 2008 相似文献
8.
S?awomir Dinew 《Mathematische Zeitschrift》2009,262(1):1-15
We generalize an inequality for mixed Monge–Ampère measures from Kołodziej (Indiana Univ. Math. J. 43, 1321–1338, 1994). We also give an example that shows that our assumptions are sharp. The corresponding result in the setting
of compact K?hler manifold is also discussed. 相似文献
9.
We characterize the group Aut
for the symmetrized bidisc
Both authors were supported in part by KBN grant no. 5 P03A 033 21 and by DFG grant no. 227/8-1. 相似文献
10.
We describe the Chern classes of holomorphic vector bundles on non-algebraic complex torus of dimension 2. 相似文献
11.
Matthias Bergner Jens Dittrich 《Calculus of Variations and Partial Differential Equations》2008,33(2):169-185
Utilising a weight matrix we study surfaces of prescribed weighted mean curvature which yield a natural generalisation to
critical points of anisotropic surface energies. We first derive a differential equation for the normal of immersions with
prescribed weighted mean curvature, generalising a result of Clarenz and von der Mosel. Next we study graphs of prescribed
weighted mean curvature, for which a quasilinear elliptic equation is proved. Using this equation, we can show height and
boundary gradient estimates. Finally, we solve the Dirichlet problem for graphs of prescribed weighted mean curvature. 相似文献
12.
Takashi Noiri 《Rendiconti del Circolo Matematico di Palermo》2007,56(2):171-184
We introduce a new set calledmg-closed which is defined on a family of sets satisfying some minimal conditions. This set enables us to unify certain kind
of modifications of generalized closed sets due to Levine [17]. 相似文献
13.
We characterize convergence in measure of a sequence (fn)n of measurable functions to a measurable function f by elements of c0, which express the quality of convergence of (fn)n to f. This characterization motivates the introduction of a new notion of convergence, called “p-convergence in measure” (p > 0), which is stronger than convergence in measure. We prove the existence of “minimal” elements in c0 which characterize the convergence in measure of (fn)n to f.
相似文献
14.
15.
Motivated by the Strominger–Yau–Zaslow conjecture, we study Calabi–Yau varieties with semi-stable fibre structures. We use Hodge theory to study the higher direct images of wedge products of relative cotangent sheaves of certain semi-stable families over higher dimensional quasi-projective bases, and obtain some results on positivity. We then apply these results to study non-isotrivial Calabi–Yau varieties fibred by semi-stable Abelian varieties (or hyperkähler varieties). 相似文献
16.
Robert J. Taggart 《Mathematische Zeitschrift》2009,261(4):933-949
Suppose that {T
t
: t ≥ 0} is a symmetric diffusion semigroup on L
2(X) and denote by its tensor product extension to the Bochner space , where belongs to a certain broad class of UMD spaces. We prove a vector-valued version of the Hopf–Dunford–Schwartz ergodic theorem
and show that this extends to a maximal theorem for analytic continuations of on . As an application, we show that such continuations exhibit pointwise convergence. 相似文献
17.
A colorful theorem on transversal lines to plane convex sets 总被引:1,自引:0,他引:1
We prove a colorful version of Hadwiger’s transversal line theorem: if a family of colored and numbered convex sets in the
plane has the property that any three differently colored members have a transversal line that meet the sets consistently
with the numbering, then there exists a color such that all the convex sets of that color have a transversal line.
All authors are partially supported by CONACYT research grant 5040017. 相似文献
18.
Glyn Harman 《Archiv der Mathematik》2008,90(3):239-245
Let P
+(m) denote the greatest prime factor of the positive integer m. Improving and simplifying work of Dartyge [3] we show that
for . Here improves on the previous exponent .
Received: 20 April 2007 相似文献
19.
Which spaces for design? 总被引:1,自引:0,他引:1
Marie-Laurence Mazure 《Numerische Mathematik》2008,110(3):357-392
We determine the largest class of spaces of sufficient regularity which are suitable for design in the sense that they do
possess blossoms. It is the class of all spaces containing constants of which the spaces derived under differentiation are
Quasi Extended Chebyshev spaces, i.e., they permit Hermite interpolation, Taylor interpolation excepted. It is also the class of all spaces which possess
Bernstein bases, or of all spaces for which any associated spline space does possess a B-spline basis. Note that blossoms
guarantee that such bases are normalised totally positive bases. They even are the optimal ones. 相似文献
20.
Ken’ichiro Tanaka Masaaki Sugihara Kazuo Murota Masatake Mori 《Numerische Mathematik》2009,111(4):631-655
The double exponential (DE) formulas for numerical integration are known to be highly efficient, more efficient than the single
exponential (SE) formulas in many cases. Function classes suited to the SE formulas have already been investigated in the
literature through rigorous mathematical analysis, whereas this is not the case with the DE formulas. This paper identifies
function classes suited to the DE formulas in a way compatible with the existing theoretical results for the SE formulas.
The DE formulas are good for more restricted classes of functions, but more efficient for such functions. Two concrete examples
demonstrate the subtlety in the behavior of the DE formulas that is revealed by our theoretical analysis. 相似文献