We study the existence of L holomorphic sections of invariant line bundles over Galois coverings of Zariski open sets in Moishezon manilolds. We show that the von Neuman dimension of the space of L holomorphic sections is bounded below under reasonable curvature conditions. We also give criteria for a a compact complex space with isolated singularities and some related strongly pseudoconcave ma...

In this paper we give a formalization of the problem of locally detecting the global termination of distributed algorithms on graphs. We introduce the notion of quasi k?coverings. Using (quasi) k?coverings, we present methods for showing that it is not possible to detect locally the global termination of local computations in certain families of graphs. These methods also allow to show that som...

In this work we summarize some recent results, to be included in a forthcoming paper [1]. We define μ-density as a characteristic of quality for the kind of coverings codes called multiple coverings of the farthest-off points (MCF). A concept of multiple saturating sets ((ρ, μ)-saturating sets) in projective spaces PG(N, q) is introduced. A fundamental relationship of these sets with MCF is sho...

1 Two-dimensional gauge theories of the symmetric group S n and branched n-coverings of Riemann surfaces in the large-n limit. Branched n-coverings of Riemann surfaces are described by a 2d lattice gauge theory of the symmetric group Sn defined on a cell discretization of the surface. We study the theory in the large-n limit, and we find a rich phase diagram with first and second order transiti...

We develop new algorithms for global optimization by combining well known branch and bound methods with multilevel subdivision techniques for the computation of invariant sets of dynamical systems. The basic idea is to view iteration schemes for local optimization problems — e.g. Newton’s method or conjugate gradient methods — as dynamical systems and to compute set coverings of their fixed poi...

In this paper, we investigate idempotents in quandle rings and relate them with coverings. We prove that integral of quandles finite type are nontrivial coverings over nice base admit infinitely many idempotents, give their complete description. show the set all these forms a itself. As an application, deduce ring knot long idempotents. consider free products have only trivial giving infinite f...

Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...