Kuga-Satake varieties are abelian varieties associated to certain weight two Hodge structures, for example the second cohomology group of a K3 surface. We start with an introduction to Hodge structures and we give a detailed account of the construction of Kuga-Satake varieties. The Hodge conjecture is discussed in section 2. An excellent survey of the Hodge conjecture for abelian varieties is [...

This study was conducted to detect the prevalence of Metallo-Beta-Lactamases (MBLs) and Extended Spectrum Beta-Lactamases (ESBLs) in bacterial isolates from clinical community settings two communities Delta State, Nigeria. Eighty four obtained blood, urine, wound stool patients subjects were analyzed identified by standard microbiological methods. Carbapenemase detection carried out using modif...

The endomorphism algebra of a K3 type Hodge structure is a totally real field or a CM field. In this paper we give a low brow introduction to the case of a totally real field. We give existence results for the Hodge structures, for their polarizations and for certain K3 surfaces. We consider the Kuga Satake variety of these Hodge structures and we discuss some examples. Finally we indicate vari...

background and objectives: the oprd mutation and ampc overproduction are the main mechanisms of intrinsic resistance to carbapenems such as imipenem and meropenem in pseudomonas aeruginosa . materials and methods: in this study, we investigated intrinsic resistance to carbapenems including mutation of oprd and ampc overproduction in a carbapenem-resistant p. aeruginosa isolated from a burn pati...

Let X be a smooth complex projective variety of dimension g. A Hodge class of degree 2d on X is, by definition, an element of H(X,Q)∩H(X). The cohomology class of an algebraic subvariety of codimension d of X is a Hodge class of degree 2d. The classical Hodge conjecture states that any Hodge class on X is algebraic, i.e., a Q-linear combination of classes of algebraic subvarieties of X. Lefsche...

The aim of this study was to identify the reason for frequent failure of carbapenems and β-lactam and β-lactamase inhibitor combination drugs in clinical settings despite susceptibility. For this different isolates collected from clinical specimens were tested for susceptibility and identification of carbapenemase producers was done by phenotypic method (Modified Hodge Test). Further, phenotypi...

BACKGROUND Proteus species cause a variety of community- and hospital-acquired illnesses. Synthesis of β-lactamases is the predominant mechanism for resistance to β-lactam antibiotics. Among the β-lactamases, extended spectrum β-lactamases (ESBLs) and AmpC β-lactamases are the most common. AIM The objective of this study was to determine the occurrence of ESBL and AmpC β-lactamases in Proteus...

This course will present the basics of Hodge theory aiming to familiarize students with an important technique in complex and algebraic geometry. We start by reviewing complex manifolds, Kahler manifolds and the de Rham theorems. We then introduce Laplacians and establish the connection between harmonic forms and cohomology. The main theorems are then detailed: the Hodge decomposition and the L...