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THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS
HODGE CONJECTURE ARITHMETIC QUOTIENTS COMPLEX BALLS
2015/10/14
Let S be a closed Shimura variety uniformized by the complex n-ball. The Hodge conjecture predicts that every Hodge class in H2k(S, Q), k = 0, . . . , n, is algebraic. We show that this holds for all ...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Consider estimating the mean vector from data Nn(; 2I ) with lq norm loss,
q 1, when is known to lie in an n-dimensional lp ball, p 2 (0; 1). For large
n, the ratio of minimax linear risk to...
Local convexity properties of Apollonian and Seittenranta's metric balls
Apollonian distance Seittenranta’s distance metric ball local convexity
2012/4/17
We consider local convexity properties of the Apollonian and the Seittenranta's metric balls. The Apollonian metric balls are considered in the twice punctured space, convex and starlike domains. The ...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic s...
The topology of balls and Gromov hyperbolicity of Riemann surfaces
Topology of balls uniformly separated sets Riemann surfaces Gromov hyperbolicity
2010/12/9
For each k > 0 we find an explicit function fk such that the topology of S inside the ball
BS(p, r) is ‘bounded’ by fk(r) for every complete Riemannian surface (compact or noncompact) S with K W...
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where ...
Comparison of exit moment spectra for extrinsic metric balls
Riemannian submanifolds extrinsic balls torsional rigidity L1-moment spectra
2010/12/1
We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn.
On Banach's ¯xed point theorem and formal balls
metric ordered set dcpo formal ball computational model
2009/1/5
In this paper we present an alternative order-theoretic proof
of the Banach ¯xed point theorem for selfmaps on complete metric spaces
which is based on formal balls and, contrary to the case of...
Ostrowski Type Inequalities Over Balls and Shells via a Taylor-Widder Formula
Ostrowski inequality multivariate inequality ball and shell Taylor-Widder formula extended complete Tschebyshev system
2008/6/27
The classical Ostrowski inequality for functions on intervals estimates the value of the function minus its average in terms of the maximum of its first derivative. This result is extended to higher o...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
A Berry-Esseen Bound for Empty Boxes Statistic on the Scheme an Allocations of Several Type Balls
Central limit theorem empty cells random allocations
2010/3/4
A Berry-Esseen bound for the number of empty cells in the scheme of independent and random allocation of balls of s type into different cells is obtained.