Real Kodaira surfaces

In this paper we give the topological classification of real primary Kodaira surfaces and we describe in detail the structure of the corresponding moduli space. One of the main tools is the orbifold fundamental group of a real variety. Our first result is that if $(S, \sigma)$ is a real primary Kodaira surface, then the differentiable type of the pair $(S,\sigma)$ is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of $(S, \sigma)$. Finally, we show that once we fix the topological type of $(S, \sigma)$ corresponding to a real primary Kodaira surface, the corresponding moduli space is irreducible (and connected).Comment: 29 page

On the second gaussian map for curves on a K3 surface

By a theorem of Wahl, for canonically embedded curves which are hyperplane sections of K3 surfaces, the first gaussian map is not surjective. In this paper we prove that if C is a general hyperplane section of high genus (greater than 280) of a general polarized K3 surface, then the second gaussian map of C is surjective. The resulting bound for the genus g of a general curve with surjective second gaussian map is decreased to g >152.Comment: final version, to appear in Nagoya Mathematical Journa

Etale homotopy types of moduli stacks of algebraic curves with symmetries

Using the machinery of etale homotopy theory a' la Artin-Mazur we determine the etale homotopy types of moduli stacks over \bar{\Q} parametrizing families of algebraic curves of genus g greater than 1 endowed with an action of a finite group G of automorphisms, which comes with a fixed embedding in the mapping class group, such that in the associated complex analytic situation the action of G is precisely the differentiable action induced by this specified embedding of G in the mapping class group.Comment: 27 page

Prym map and second gaussian map for Prym-canonical line bundles

We show that the second fundamental form of the Prym map lifts the second gaussian map of the Prym-canonical bundle. We prove, by degeneration to binary curves, that this gaussian map is surjective for the general point [C,A] of R_g for g > 19.Comment: Final version. To appear in Advances in Mathematic

Shimura varieties in the Torelli locus via Galois coverings

Given a family of Galois coverings of the projective line we give a simple sufficient condition ensuring that the closure of the image of the family via the period mapping is a special (or Shimura) subvariety in A_g. By a computer program we get the list of all families in genus up to 8 satisfying our condition. There is no family in genus 8, all of them are in genus at most 7. These examples are related to a conjecture of Oort. Among them we get the cyclic examples constructed by various authors (Shimura, Mostow, De Jong-Noot, Rohde, Moonen and others) and the abelian non-cyclic examples found by Moonen-Oort. We get 7 new non-abelian examples.Comment: Final version. To appear on Intenational Mathematics Research Notice

Deformation in the large of some complex manifolds, II

The compact complex manifolds considered in this article are principal torus bundles over a torus. We consider the Kodaira Spencer map of the complete Appell Humbert family (introduced by the first author in Part I) and are able to show that we obtain in this way a connected component of the space of complex structures each time that the base dimension is two, the fibre dimension is one, and a suitable topological condition is verified.Comment: 23 pages, to appear in the AMS Series 'Contemporary Mathematics',in the Proceedings of the 10th anniversary (2004) Conference for the Mathematics Institute at East China Normal Universit

Giudicato penale ed obblighi conformativi: la c.d. revisione europea.

Il presente elaborato, dopo aver esposto le contrapposte esigenze, prima facie insanabili, che animano, da un lato, l’obbligazione di conformazione al decisum della Corte europea accertante una violazione a diritti fondamentali, e dall'altro la tutela dei valori sottesi all’istituto giuridico del giudicato, indefettibilmente infranto dalla riapertura del processo quale rifrazione necessitata della restitutio in integrum, mira ad illustrare l’addizione operata dalla Corte costituzionale, con la sentenza n. 113 del 2011, sul corpus dell’art. 630 c.p.p. Segnatamente, una volta esposta la natura eterodossa di sentenza additiva di principio, e la eterogenea ratio che permea l’ipotesi aggiunta di revisione rispetto a quella tralatizia, le pagine che seguitano sono volte ad illustrare come, se pur non sia revocabile in dubbio che l’intervento manipolativo de quo abbia scritto una pagina nodale sul tavolo delle garanzie, l’inchiostro nel calamaio non possa considerarsi esaurito

Aggiornamento del modello della rete viaria della citta di Lucca con applicazioni alle previsioni urbanistiche

Il presente lavoro può essere definito come un aggiornamento del modello della rete viaria di Lucca con applicazioni alle previsioni urbanistiche. Lo scopo di questa attività prevede: la realizzazione di misure di traffico; l’aggiornamento del modello; la correzione della matrice della domanda di trasporto; la simulazione dei flussi di traffico nella situazione attuale ed in quella futura con scenari. Con il modello così creato risulta possibile lo studio di varie situazioni, una di queste è ridurre la capacità del viale circonvallazione della città di Lucca e confrontare i dati con lo stato attuale. Oltre a questo scenario sarà possibile studiarne altri generati dalle previsioni urbanistiche