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Alcune proprietà degli spazi quasi algebrici

Fulvio LazzeriAlberto Tognoli — 1969

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

A q-algebraic function is an analytic function that is in the algebraic closure of the ring of polynomials. In this work we study the q-algebraic spaces (i.e. the ringed spaces that locally are isomorphic to the locus of zeros of a finite number of q-algebraic functions) and we prove, for instance, that any q-algebraic, compact, connected manifold of 𝐑 n is homogeneous (in the q-algebraic sense).

La matrice di intersezione di un polinomio di Pham-Brieskorn

Abramo HefezFulvio Lazzeri — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

To each isolated singularity of hypersurface of dimension n , one associates the local fundamental group G of the moduli space minus the discriminant locus, and a representation σ : G Aut ( H ) , where H is the n -homology group, with integer coefficient, of the "non singular fibre". Although in general it is very difficult to determine even a presentation of G , we show that the image of σ can be fairly rather easily, by using some relations in a first approximative presentation of G , in the case of polynomials...

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