Suppose that X X is a projective manifold whose tangent bundle T Subscript upper T encoding="ap...

in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively

in this paper, at first we mention to some results related to pi and vertex co-pi indices and then we introduce the edge versions of co-pi indices. then, we obtain some properties about these new indices.

An R-module is called semi-endosimple if it has no proper fully invariant essential submodules. For a quasi-projective retractable module MR we show that M is finitely generated semi-endosimple if and only if the endomorphism ring of M is a finite direct sum of simple rings. For an arbitrary module M , conditions equivalent to the semi-endosimplicity of its quasi-injective hull are found. As co...

Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an order two line bundle) semi-stable vector bundle of rank 2 (with determinant equal to a theta characteristic) whose Frobenius pull-back is not ...

Two equal-length strings S and S′ are a parameterized-match (p-match) iff there exists a one-toone function that renames the characters in S to those in S′. Let P be a collection of d patterns of total length n characters that are chosen from an alphabet Σ of cardinality σ. The task is to index P such that we can support the following operations: search(T ): given a text T , report all occurren...

Let $X$ be a complex manifold and $L$ holomorphic line bundle on $X$. Assume that is semi-positive, namely admits smooth Hermitian metric with semi-positive Chern curvature. $Y$ compact K\"ahler submanifold of such the restriction to topologically trivial. We investigate obstruction for unitary flat neighborhood in As an application, example, we show existence nef, big, non non-singular project...

Quantum computation and information studies how information is encoded in nature according to the laws of quantum mechanics and what this means for its computational power. In this note, we present a short and rather schematic introduction to quantum information theory by drawing comparisons to classical probability theory. For more details on quantum information theory and computation we refer...