Immersioni di superficie e contorni apparenti (in Italian)
Immersioni di superficie e contorni apparenti (in Italian)
Factorization of generic mappings between surfaces
Surfaces with assigned apparent contour
Connected sum of compact analytic hypersurfaces (with F. Broglia)
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Immersioni di superficie e contorni apparenti
(in Italian)
Dissertation, available at the National Libraries of Rome and Florence
| Abstract:
At first, we give an exaustive survey on Blank's (and other) method to check whether a normal crossing curve in a compact surface can be realized as the boundary of an immersion of some surface with boundary and to count in how many ways this can be done, up to right equivalence.
This method is then generalized to check whether a curve, with normal crossing and cusps, in a compact surface, can be realized as the apparent contour of some generic mapping and to count in how many ways this can be done, up to right equivalence. Finally criterions are found to check whether a given generic map can be factored through an immersion or an embedding into a line bundle. |
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Factorization of generic mappings between surfaces
Proc. Am. Math. Soc. 118 (1993) 247-253
| Abstract: Necessar and sufficient conditions are found in order a generic map between two real surfaces, say from S to N, can be factored through an immersion into a line bundle E over N. |
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Surfaces with assigned apparent contour
Ann. Scuola Norm. Sup. Pisa Cl. Sci. 21 (1994) 311-341
| Abstract:
A method is found to check whether a curve, with normal crossing and cusps, in a compact surface, can be realized as the apparent contour of some generic mapping and to count in how many ways this can be done, up to right equivalence.
Finally a criterion is found to check whether a given generic map can be factored through an embedding into a line bundle. |
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dvi version 142740 bytes |
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Connected sum of compact analytic hypersurfaces
(With F. Broglia)
will appear in Annali di Matematica Pura e Applicata
| Abstract: A technique is developed to find analytic [resp. algebraic] models of the connected sum of compact, analytic [resp. algebraic] hypersurfaces. As an application, we find explicit equations for the connected sum of k copies of the real projective 3-spaces in the euclidean 5-space. |
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dvi version 39092 bytes |
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