This article is motivated by the following local-to-global question: is every variety with tame quotient singularities globally the quotient of a smooth variety by a finite group? We show that this question has a positive answer for all quasi-projective varieties which are expressible as a quotient of a smooth variety by a split torus (e.g. simplicial toric varieties). Although simplicial toric...

We classify those manifolds mentioned in the title which have finite topological type. Namely we show any such connected M is isomorphic to a hyperkähler quotient of a flat quaternionic vector space H by an abelian group. We also show that a compact connected and simply connected 3-Sasakian manifold of dimension 4n− 1 whose isometry group has rank n+1 is isometric to a 3-Sasakian quotient of a ...

In this note we observe that, contrary to the usual lore, string orbifolds do not describe strings on quotient spaces, but rather seem to describe strings on objects called quotient stacks, a result that follows from simply unraveling definitions, and is further justified by a number of results. Quotient stacks are very closely related to quotient spaces; for example, when the orbifold group ac...

OBJECTIVE To investigate the characteristics of attention in school-age children with mild autism spectrum disorder (ASD), and to provide a basis for clinical treatment. METHODS A total of 20 school-age children with mild ASD were enrolled, and the intermediate visual and auditory continuous performance test (IVA-CPT) was used to assess their attention. A total of 20 children with attention d...

Lattice-based information representation has the advantage of providing efficient visual interface over textual display. However, the complexity of a lattice may grow rapidly with the size of the database. In this paper we formally draw the analogy between Vector Space retrieval. We then propose to use the idea of quotient lattice to reduce the complexity of a Term-Document Lattice. The equival...