On the Picard group scheme of the moduli stack of stable pointed curves

The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme. As a byproduct, we compute the Picard groups of the moduli stack of stable or smooth pointed curves over a field of characteristic different from two.Comment: 36 pages. v2: added a new section on the first Chern class and the divisor class group of the coarse moduli spac

VALORISATION OF A GEOLOGICAL SITE OF GLOBAL INTEREST: VULCANOLOGICAL PARK OF SAN VENANZO (TR, ITALY)

Il centro vulcanico di San Venanzo (TR), posto nella parte occidentale dell’Umbria, presenta tre piccoli crateri, attivi nel Pleistocene medio, i quali hanno avuto attività eruttive ad alta e bassa energia. Quest’ultima ha prodotto una lava con una particolarissima composizione chimica, appartenente alle Kamafugiti, che ha generato una roccia chiamata Venanzite (Melilitolite). Grazie alla peculiarità geologica di questo luogo è nato un museo e parco vulcanologico con l’intento di proteggere, far conoscere e valorizzare questo geosito. Il tentativo dell’ente gestore è promuovere su scala nazionale questa piccola ma particolare realtà in modo da renderla fruibile ad un numero sempre maggiore di visitatori.The volcanic centre of San Venanzo (TR), located on the western side of Umbria, has three small craters, which were active in the Middle Pleistocene and had eruptive activity at high and low energy. The low energy eruption produced a lava with a peculiar chemical composition, belonging to Kamafugite, which generated a rock called Venanzite (Melilitolite). Thanks to the geological peculiarities of this place a volcanological museum and park were created with the intent to protect, enhance and get this geo-site known. The aim of the management is to promote nation-wide this little, but unique and special, site and make it available to an increasing number of visitors

The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties

We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principally polarized Abelian varieties over C with a symplectic principal level n-structure. We then prove that over C the statement of the Franchetta conjecture holds in a suitable form for Ag,n

Nucleophilic ring opening of 1,2-epoxides in aqueous medium

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The Picard group of the universal moduli stack of principal bundles on pointed smooth curves

For any smooth connected linear algebraic group G over an algebraically closed field k, we describe the Picard group of the universal moduli stack of principal G-bundles over pointed smooth k-projective curvesComment: 62 pages, minor modification

Pictorial essay: incidental findings on 18F-Fluciclovine PET/CT scan

Abstract Introduction Fluorine-18 (18F) Fluciclovine (anti-1-amino-3-18F-fluorocyclobutane- 1-carboxylic acid [FACBC]) is a synthetic amino acid labeled with 18F, currently used as PET radiopharmaceutical to investigating prostate cancer, namely in the recurrent setting. Fluciclovine is transported to cell membranes by amino acid transporters, such as LAT1 and ASCT2. The upregulation of LAT-1 and ASCT2 activities is typical of prostate cancer but is also present in other pathological conditions such as non-prostatic neoplasms (e.g., lung cancer) and in benign inflammatory process (e.g., benign prostatic hyperplasia, chronic prostatitis, high-grade prostatic hyperplasia intraepithelial). Methods In this short essay we present a retrospective FACBC PET/CT analysis consisting of a selection of the five most relevant cases of patients referred in our centre to FACBC PET/CT for prostate cancer, with concomitant FACBC uptake in sites atyipical for prostate cancer. Results These five selected cases demonstrate FACBC uptake at the level of the pancreatic head, adrenal incidentalomas, pulmonary nodules, mediastinal lymph nodes and neoformative tissue of the rectal wall. Discussion Clinical cases selected in this pictorial essay have demonstrated that Fluciclovine is not an exclusive and specific radiotracer for prostate cancer and, therefore, can induce misdiagnosis. In fact, incidental benign and malignant uptake might occur and should be further evaluated with clinical correlation or other imaging