We identify a quiver variety of an affine type with a framed moduli space of torsion free sheaves on an ALE space, a fiber of a simultaneous resolution of the semi-universal deformation of C/Γ. This result is an analog of a similar identification for a framed moduli space of anti-self-dual connections on an ALE space, given by Kronheimer and the author. It simultaneously generalizes the descrip...

We investigate the feasibility of using an inverse method based on a linear Kalman filter to determine regional surface fluxes through comparisons between observations and predictions in a 3-D atmospheric transport model. The ability of the present ALE/GAGE observation sites to quantify the regional fluxes of anthropogenic trace gases is also studied. These investigations are done using CFC13 a...

Intonational phrasing and pitch accent distribution (PAD) have been proposed to be interdependent (Portuguese) and independent properties of prosodic systems (Egyptian). This paper examines the relation between intonational phrasing and pitch accent distribution in two center-southern varieties of European Portuguese Alentejo (Ale) and Algarve (Alg). Sentences obtained in a reading task systema...

We conjecture that M-theory compactified on an ALE space (or K3) is described by 0-branes moving on the ALE space. We give evidence for this by showing that if we compactify another circle, we recover string theory on the ALE space. This guarantees that in the large N limit, the matrix model correctly describes the force law between gravitons moving in an ALE background. We also show the appear...

This paper introduces a compact representation which helps to avoid the exponential blow-up of the Least Common Subsumer (lcs) of two ALE-concept descriptions. Based on the compact representation we define a space of specific graphs which represents all ALE-concept descriptions including the lcs. Next, we propose an algorithm exponential in time and polynomial in space for deciding subsumption ...

In this paper,a moving mesh BGK scheme (MMBGK) for multi-material flow computations is proposed. The basic idea of constructing the MMBGK is to couple the Lagrangian method for the material interface with the remapping-free ALE-type kinetic method within each single material region. Numerical examples in one and two dimensional space are presented to illustrate the efficiency and accuracy of th...

In this paper, reduced-order models (ROMs) are constructed for the Ablowitz-Ladik equation (ALE), an integrable semi-discretization of nonlinear Schrödinger (NLSE) with and without damping. Both ALEs non-canonical conservative dissipative Hamiltonian systems Poisson matrix depending quadratically on state variables, quadratic Hamiltonian. The full-order solutions obtained energy preserving midp...

In this article we study the metric property and the function theory of asymptotically locally Euclidean (ALE) Kähler manifolds. In particular, we prove the Ricci flatness under the assumption that the Ricci curvature of such manifolds is either nonnegative or nonpositive. The result provides a generalization of previous gap type theorems established by Greene and Wu, Mok, Siu and Yau, etc. It ...