Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.
Un teorema di dualita' per i fasci coerenti su uno spazio analitico reale
Matematica: scienza, gioco od arte?
Molti autori sottolineano come la scienza matematica abbia molti aspetti in comune con alcune arti; nel sottolineare qui come la matematica sia un poderoso e complesso edificio culturale, voglio però evidenziare l'importanza dell'aspetto ludico: da una parte il gioco come preparazione formante alla matematica, dall'altra il divertimento e la sfida come attitudine fondamentale per trarre piacere dal fare ricerca matematica.
Algebraic Surfaces and Their Moduli Spaces: Real, Differentiable and Symplectic Structures
The theory of algebraic surfaces, according to Federigo Enriques, revealed `riposte armonie' (hidden harmonies) who the mathematicians to undertook their investigation. Purpose of this article is to show that this holds still nowadays; and point out, while reviewing recent progress and unexpected new results, the many faceted connections of the theory, among others, with algebra (Galois group of the rational numbers), with real geometry, and with differential and symplectic topology of 4 manifolds....
Polynomial bounds for abelian groups of automorphisms
d-Very-Ample Line Bundles and embeddings of Hilbert Schemes of 0-cycles.
Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II
Let be a real smooth projective 3-fold fibred by rational curves such that is orientable. J. Kollár proved that a connected component of is essentially either Seifert fibred or a connected sum of lens spaces. Answering three questions of Kollár, we give sharp estimates on the number and the multiplicities of the Seifert fibres (resp. the number and the torsions of the lens spaces) when is a geometrically rational surface. When is Seifert fibred over a base orbifold , our result generalizes...
Fibrations of low genus, I
Even sets of nodes on sextic surfaces
We determine the possible even sets of nodes on sextic surfaces in , showing in particular that their cardinalities are exactly the numbers in the set . We also show that all the possible cases admit an explicit description. The methods that we use are an interplay of coding theory and projective geometry on one hand, and of homological and computer algebra on the other. We give a detailed geometric construction for the new case of an even set of 56 nodes, but the ultimate verification of existence...
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