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

Automorphisms of moduli spaces of principal bundles over a smooth curve

For any almost-simple group $G$ over an algebraically closed field $k$ of characteristic zero, we describe the automorphism group of the moduli space of semistable $G$-bundles over a connected smooth projective curve $C$ of genus at least $4$. The result is achieved by studying the singular fibers of the Hitchin fibration. As a byproduct, we provide a description of the irreducible components of two natural closed subsets in the Hitchin basis: the divisor of singular cameral curves and the divisor of singular Hitchin fibers.Comment: Section 7 partially rewritten due to a mistake in the earlier version pointed out by the anonymous referee. Final Version. To appear on Int. J. Mat

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

Практика формування та реалізації змістового компоненту документознавчої освіти в Україні

This chapter contains sections titled: Introduction CENELEC Guidelines Software Procurement in Railway Signaling A Success Story: The B Method Classes of Railway Signaling Equipment Conclusions Reference

Towards the conversion of carbohydrate biomass feedstocks to biofuels via hydroxylmethylfurfural

This review appraises the chemical conversion processes recently reported for the production of hydroxylmethylfurfural (HMF), a key biorefining intermediate, from carbohydrate biomass feedstocks. Catalytic sites or groups required for the efficient and selective conversion of hexose substrates to HMF are examined. The principle of concerted catalysis was used to rationalise the dehydration of fructose and glucose to HMF in non-aqueous media. A survey of reported reaction routes to diesel-range biofuel intermediates from HMF or furfural is presented and self-condensation reaction routes for linking two or more HMF and furfural units together toward obtaining kerosene and diesel-range biofuel intermediates are highlighted. The reaction routes include: benzoin condensation, condensation of furfuryl alcohols, hetero Diels–Alder reaction and ketonisation reaction. These reaction routes are yet to be exploited despite their potential for obtaining kerosene and diesel-range biofuel intermediates exclusively from furfural or hydroxylmethylfurfural