scholarly journals Heisenberg Modules over Quantum 2-tori are Metrized Quantum Vector Bundles

2019 ◽  
Vol 72 (4) ◽  
pp. 1044-1081
Author(s):  
Frédéric Latrémolière
Keyword(s):  
Vector Bundles ◽  
Hilbert Module ◽  
Continuous Family ◽  
Module Structure ◽  
The Family ◽  
Quantum Vector ◽  
Metric Information

AbstractThe modular Gromov–Hausdorff propinquity is a distance on classes of modules endowed with quantum metric information, in the form of a metric form of a connection and a left Hilbert module structure. This paper proves that the family of Heisenberg modules over quantum two tori, when endowed with their canonical connections, form a family of metrized quantum vector bundles, as a first step in proving that Heisenberg modules form a continuous family for the modular Gromov–Hausdorff propinquity.

scholarly journals On the arithmetic of a family of degree - two K3 surfaces

2018 ◽  
Vol 166 (3) ◽  
pp. 523-542 ◽  
Author(s):  
FLORIAN BOUYER ◽  
EDGAR COSTA ◽  
DINO FESTI ◽  
CHRISTOPHER NICHOLLS ◽  
MCKENZIE WEST
Keyword(s):  
Projective Space ◽  
Function Field ◽  
Weighted Projective Space ◽  
Module Structure ◽  
K3 Surface ◽  
Galois Module ◽  
Generic Element ◽  
The Family ◽  
Formula Group ◽  
Image Position

AbstractLet ℙ denote the weighted projective space with weights (1, 1, 1, 3) over the rationals, with coordinates x, y, z and w; let $\mathcal{X}$ be the generic element of the family of surfaces in ℙ given by \begin{equation*} X\colon w^2=x^6+y^6+z^6+tx^2y^2z^2. \end{equation*} The surface $\mathcal{X}$ is a K3 surface over the function field ℚ(t). In this paper, we explicitly compute the geometric Picard lattice of $\mathcal{X}$, together with its Galois module structure, as well as derive more results on the arithmetic of $\mathcal{X}$ and other elements of the family X.

Fashions in Monastic Endowment: the Foundations of the Clare Family, 1066–1314

1981 ◽  
Vol 32 (4) ◽  
pp. 427-451 ◽  
Author(s):  
J. C. Ward
Keyword(s):  
Twelfth Century ◽  
Continuous Family ◽  
Medieval History ◽  
Long Period ◽  
Marked Diminution ◽  
The Family ◽  
Monastic Life ◽  
Military Orders ◽  
Successive Generations ◽  
The Military

The great expansion in monasticism in Normandy and England in the eleventh and twelfth centuries is a commonplace of medieval history, as is the marked diminution in monastic grants after c. 1200. Far more attention, however, has been paid to the religious houses than to their founders, and it is only by looking at a baronial family over a long period that one can discern the fashions which undoubtedly existed in monastic benefaction and the changes in attitude of successive generations. The Clare family were both long-lasting and prolific, and, because of the numerous changes in the landed position of various members of the family, it is possible to see how closely in the eleventh and twelfth centuries the acquisition of new territories and the endowment of monasteries went together. Moreover, we are able to trace the changing preferences for different monastic orders and, to some extent, the reasons for this, and, in addition, to see this in the context not only of Normandy and England, but of Wales and Ireland as well. Whereas in the eleventh and early twelfth century, the Clares' gifts passed to Benedictine houses, many of them Norman or with Norman connections, they became more interested later in the new orders of the Augustinian canons and Cistercians which were spreading rapidly over Europe. At the same time they made grants to the military orders of the Hospitallers and Templars which, by giving knights the opportunity to combine fighting with a monastic life, fused two ideals of the twelfth-century world. In contrast to the variety and amount of these monastic benefactions, the Clares were content in the thirteenth century to make only the occasional grant, but they were insistent on maintaining their rights of patronage. In addition, their interest turned to the new orders of friars. There is, however, no indication here of continuous family interest from one generation to the next as would have been the case in the early twelfth century.

Continuous family assessment: How are you going? How are you going now?

2009 ◽  
Vol 34 (1) ◽  
pp. 47-53
Author(s):  
Marianne Berry ◽  
Scottye J. Cash
Keyword(s):  
Child Maltreatment ◽  
Assessment Tool ◽  
Continuous Family ◽  
Child Assessment ◽  
Family Assessment ◽  
Children And Families ◽  
Continuous Assessment ◽  
The Family ◽  
And Training

Working with children and families experiencing child maltreatment requires that a practitioner understand the family: their risks, their needs, their strengths, and the goals of the intervention. Therefore, many of the tools and training topics that support this work focus on family and child assessment. The purposes of a thorough assessment are to understand the immediate circumstances so that children are protected, and interventions are relevant to the child and family's circumstances and events. This paper presents a new assessment tool that is ecologically oriented, empirically based, and able to provide a continuous assessment of the child and family that can chart improvements and declines over the life of a case.

Triassic sponges (Sphinctozoa) from Hells Canyon, Oregon

1988 ◽  
Vol 62 (03) ◽  
pp. 419-423 ◽  
Author(s):  
Baba Senowbari-Daryan ◽  
George D. Stanley
Keyword(s):  
Endemic Species ◽  
Upper Triassic ◽  
Island Arc ◽  
Tropical Island ◽  
The Family ◽  
Wallowa Terrane ◽  
Unique Condition ◽  
Hells Canyon

Two Upper Triassic sphinctozoan sponges of the family Sebargasiidae were recovered from silicified residues collected in Hells Canyon, Oregon. These sponges areAmblysiphonellacf.A. steinmanni(Haas), known from the Tethys region, andColospongia whalenin. sp., an endemic species. The latter sponge was placed in the superfamily Porata by Seilacher (1962). The presence of well-preserved cribrate plates in this sponge, in addition to pores of the chamber walls, is a unique condition never before reported in any porate sphinctozoans. Aporate counterparts known primarily from the Triassic Alps have similar cribrate plates but lack the pores in the chamber walls. The sponges from Hells Canyon are associated with abundant bivalves and corals of marked Tethyan affinities and come from a displaced terrane known as the Wallowa Terrane. It was a tropical island arc, suspected to have paleogeographic relationships with Wrangellia; however, these sponges have not yet been found in any other Cordilleran terrane.

Electron Microscopy of Mycoplasma Pneumoniae

1971 ◽  
Vol 29 ◽  
pp. 258-259 ◽  
Author(s):  
E. S. Boatman ◽  
G. E. Kenny
Keyword(s):  
Electron Microscopy ◽  
Light Microscopy ◽  
Growth Phase ◽  
Hela Cells ◽  
Sulfonic Acid ◽  
Gamma Globulin ◽  
Horse Serum ◽  
Morphological Aspects ◽  
The Family

Information concerning the morphology and replication of organism of the family Mycoplasmataceae remains, despite over 70 years of study, highly controversial. Due to their small size observations by light microscopy have not been rewarding. Furthermore, not only are these organisms extremely pleomorphic but their morphology also changes according to growth phase. This study deals with the morphological aspects of M. pneumoniae strain 3546 in relation to growth, interaction with HeLa cells and possible mechanisms of replication.The organisms were grown aerobically at 37°C in a soy peptone yeast dialysate medium supplemented with 12% gamma-globulin free horse serum. The medium was buffered at pH 7.3 with TES [N-tris (hyroxymethyl) methyl-2-aminoethane sulfonic acid] at 10mM concentration. The inoculum, an actively growing culture, was filtered through a 0.5 μm polycarbonate “nuclepore” filter to prevent transfer of all but the smallest aggregates. Growth was assessed at specific periods by colony counts and 800 ml samples of organisms were fixed in situ with 2.5% glutaraldehyde for 3 hrs. at 4°C. Washed cells for sectioning were post-fixed in 0.8% OSO4 in veronal-acetate buffer pH 6.1 for 1 hr. at 21°C. HeLa cells were infected with a filtered inoculum of M. pneumoniae and incubated for 9 days in Leighton tubes with coverslips. The cells were then removed and processed for electron microscopy.

Sign in / Sign up

Export Citation Format

Share Document