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Projective manifolds whose topology is strongly reflected in their hyperplane sections
No full textLet S_k be the class of complex algebraic k-folds X \subset P^n such that H_i(X,Q) \cong H_i(H,Q) for i \leq k-1, H being a general hyperplane section. Topological characterizations of S_k and several other classes of projective manifolds are given. Moreover, classes S_2, S_3, S_5 are completely described and a partial description of S_4 is given. A key role is played by projective bundles
Some topological conditions for projective algebraic manifolds with degenerate dual varieties: conncetions with P-bundles
No full textSi illustrano alcune relazioni tra le varieta` proiettive complesse con duale degenere, le varieta` la cui topologia si riflette in quella della sezione iperpiana generica in misura maggiore dell'ordinario e le varieta` fibrate in spazi lineari su di una curva
Algebraic properties of the module of slice regular functions in several quaternionic variables
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On the quaternionic Weyl Algebra
Get PDFIn this paper we introduce the notion of quaternionic Weyl algebra A 1 (ℍ) and we study its main properties. We give some examples of A 1 (ℍ)-modules useful in the resolution of systems of differential equations whose linear differential operators are in A 1 (ℍ). We also introduce a notion of Fourier transform that is an isomorphism of A 1 (ℍ)
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