We present a generalization of the classical Schur modules of GL(N) exhibiting the same interplay among algebra, geometry, and combinatorics. A generalized Young diagram D is an arbitrary finite subset of N × N. For each D, we define the Schur module SD of GL(N). We introduce a projective variety FD and a line bundle LD, and describe the Schur module in terms of sections of LD. For diagrams wit...

Since notions of coarse geometry and quasi-isometries were first introduced by M. Gromov, many studies of geometry have been renovated with its rough perspective. In this note we give an expository account of results of [Br] and of joint work of the author with Benson Farb [BF] that apply such a coarse point of view to the Weil-Petersson metric on Teichmüller space. A natural graph of pants dec...

Leptospirosis, a worldwide distributed zoononis caused by bacteria of the genus Leptospira (antigenically classified into serovars), may be direct or indirectly transmitted through infected urine or environment. Several domestic and wild animals are leptospirosis reservoirs. The disease presents occupational character since it is widely reported in professionals that work in humid environments ...

We prove a general inequality for estimating the number of points of arbitrary complete intersections over a finite field. This extends a result of Deligne for nonsingular complete intersections. For normal complete intersections, this inequality generalizes also the classical Lang-Weil inequality. Moreover, we prove the Lang-Weil inequality for affine as well as projective varieties with an ex...

Citation: Bhaswara A, Keum H, Mathieu F, Legrand B, Kim S, Nicu L and Leïchlé T (2016) A Simple Fabrication Process Based on Micro-masonry for the Realization of Nanoplate Resonators with Integrated Actuation and Detection Schemes. Front. Mech. Eng. 2:1. doi: 10.3389/fmech.2016.00001 a simple Fabrication Process Based on Micro-masonry for the realization of nanoplate resonators with integrated ...

A series scheme is discussed for the determination of the normalization constants of the even and odd Mathieu-Gauss (MG) optical beams. We apply a suitable expansion in terms of Bessel-Gauss (BG) beams and also answer the question of how many BG beams should be used to synthesize a MG beam within a tolerance. The structure of the normalization factors ensures that MG beams will always be normal...

The GHS Weil descent attack by Gaudry, Hess and Smart was originally proposed to elliptic curves over finite fields of characteristic two [11]. Among a number of extensions of this attack, Diem treated the cases of hyperelliptic curves over finite fields of arbitrary odd characteristics [4]. His results were partially extended to algebraic curves of which the function fields are cyclic Galois e...

We will discuss theoretical and experimental results concerning comparison of entropy of pseudo-Anosov maps and volume of their mapping tori. Recent study of Weil-Petersson geometry of the Teichmüller space tells us that they admit linear inequalities for both sides under some bounded geometry condition. We construct a family of pseudo-Anosov maps which violates one side of inequalities under u...

We may not be able to make you love reading, but pcr on formalin fixed necropsy tissues to diagnose leptospirosis correspondence polymerase chain rea will lead you to love reading starting from now. Book is the window to open the new world. The world that you want is in the better stage and level. World will always guide you to even the prestige stage of the life. You know, this is some of how ...