Realising the cup product of local Tate duality

We present an explicit description, in terms of central simple algebras, of a cup product map which occurs in the statement of local Tate duality for Galois modules of prime cardinality p. Given cocycles f and g, we construct a central simple algebra of dimension p^2 whose class in the Brauer group gives the cup product f\cup g. This algebra is as small as possible.

Cohomologia de grupos e algumas aplicações

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Cohomologia de grupos e invariante algébricos

Pós-graduação em Matemática - IBILCE

Grupos wallpaper e sua relação com cohomologia de grupos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

[(99m)Tc]Demotate 2 in the detection of sst(2)-positive tumours: a preclinical comparison with [(111)In]DOTA-tate

PURPOSE: The aim of this study was to evaluate [(99m)Tc]Demotate 2 ([(99m)Tc-N(4) (0-1),Asp(0),Tyr(3)]octreotate) as a candidate for in vivo imaging of sst(2)-positive tumours and to compare it with [(111)In]DOTA-tate ([(111)In-DOTA(0),Tyr(3)]octreotate). METHODS: Labelling of Demotate 2 with (99m)Tc was performed at room temperature using SnCl(2) as reductant in the presence of citrate at alkaline pH. Radiochemical analysis involved ITLC and HPLC methods. Peptide conjugate affinities for sst(2) were determined by receptor autoradiography on rat brain cortex sections using [DOTA(0),(125)I-Tyr(3)]octreotate as the radioligand. The affinity profile of Demotate 2 for human sst(1)-sst(5) was studied by receptor autoradiography in cell preparations using the universal somatostatin radioligand [(125)I][Leu(8),(D: )Trp(22),Tyr(25)]somatostatin-28. The internalisation rates of [(99m)Tc]Demotate 2 and [(111)In]DOTA-tate were compared in sst(2)-positive and -negative control cell lines. Biodistribution of radiopeptides was studied in male Lewis rats bearing CA20948 tumours. RESULTS: Peptide conjugates showed selectivity and a high affinity binding for sst(2) (Demotate 2 IC(50)=3.2 nM and DOTA-tate IC(50)=5.4 nM). [(99m)Tc]Demotate 2, like [(111)In]DOTA-tate, internalised rapidly in all sst(2)-positive cells tested, but not in sst(2)-negative control cells. After injection in CA20948 tumour-bearing rats both radiopeptides showed high and specific uptake in the sst(2)-positive organs and in the implanted tumour and rapid excretion from non-target tissues via the kidneys. CONCLUSION: [(99m)Tc]Demotate 2, similarly to the known sst(2)-targeting agent [(111)In]DOTA-tate, showed promising biological qualities for application in the scintigraphy of sst(2)-positive tumours.

In hoc volumine beati Bonaue[n]ture subiecta comprehenduntur : Oratio Octauiani in vitam beati Bonauenture ; Libellus de reductione artium ad theologiam ; Tractatus de paup[eri]tate [Christi] [con]tra mag[ist]r[u]m, vvilhelmum ; Tractatulus de quinq[ue] f

Impresor y año tomados del colofón

In hoc volumine beati Bonaue[n]ture subiecta comprehenduntur : Oratio Octauiani in vitam beati Bonauenture ; Libellus de reductione artium ad theologiam ; Tractatus de paup[eri]tate [Christi] [con]tra mag[ist]r[u]m, vvilhelmum ; Tractatulus de quinq[ue] f

Impresor y año tomados del colofón

Integrality of Tate-cycles

We explain a technical result about p-adic cohomology and apply it to the study of Shimura varieties. The technical result applies to algebraic varieties with torsion-free cohomology, but for simplicity we only treat abelian varieties.

Tate Okinawa danshi /

Mode of access: Internet.

A selection from Tate and Brady's version of the Psalms; with hymns by various authors; for the use of the church in Brattle-Square.

Psalms.--Hymns pt. 1.--Hymns, pt. 2.

A selection from Tate and Brady's version of the Psalms : with hymns by various authors /

Words only.

In binas veteres inscriptiones L.Aurelii Commodi imperatoris ætate posita Romæ recens de tectas dissertatio qua gladiatorum materia fere tota enucleatur.

Title begins:Francisci Antonii Vitale in binas veteres inscriptiones etc.