UNLABELLED We aimed to evaluate (68)Ga-DOTATATE PET/CT for the early prediction of time to progression and clinical outcome after a first cycle of peptide receptor radionuclide treatment (PRRT) in a cohort of patients with well-differentiated neuroendocrine tumors. METHODS Thirty-three consecutive patients (22 men and 11 women; mean age +/- SD, 57.8 +/- 12.1 y) were investigated at baseline a...

We define Hodge structures as representations, and introduce the Mumford–Tate group MT(H) of a rational Hodge structure. We give a characterization of MT(H) based on properties of reductive groups, and study it for elliptic curves and their powers. We define what it means for a Hodge structure to arise from an abelian variety (as is the case for K3 surfaces), and then focus on cases in which th...

This report describes a case of extensive diffuse bone marrow involvement with bilateral breast metastases from duodenal neuroendocrine tumor giving rise to a superscan-like appearance on somatostatin receptor-targeted (99m)Tc-hydrazinonicotinamide-TOC scintigraphy. The metastatic lesions demonstrated partial concordance with (18)F-FDG PET/CT findings, signifying varying tumor biology and heter...

We establish formulae for the Iwasawa invariants of Mazur–Tate elements of cuspidal eigenforms, generalizing known results in weight 2. Our first theorem deals with forms of “medium” weight, and our second deals with forms of small slope. We give examples illustrating the strange behavior which can occur in the high weight, high slope case.

Let O denote the ring of integers in a p-adic local field. Recall that O-modules are formal groups with an O-action such that the induced action on the Lie algebra is via scalars. In the paper this notion is generalised to finite flat group schemes. It is shown that the usual properties carry over. For example, Cartier duality holds with the multiplicative group replaced by the Lubin–Tate group...

I. Background material 1 A. Mumford-Tate groups and domains B. The structure theorem for global variations of Hodge structure C. Hodge groups and domains II. General context A. Algebro-geometric B. Representation theoretic C. Arithmetic III. Cyclic spaces and their enlargements A. General definitions and some properties B. Two examples C. Enlargements of cycle spaces IV. Penrose-Radon transform...