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Foliazioni del piano proiettivo complesso : tesi di dottorato di ricerca
Molica Bisci, Giovanni, 1975-
From the fact that a foliation by curves of degree greater than one, with isolated singularities, in the complex projective plane is uniquely determined by its subscheme of singular points (the ...singular subscheme of the foliation), Campillo and Olivares posed the problem of existence of proper closed subschemes ▫$Z$▫ of the singular subscheme which still determine the foliation in a unique way. In the thesis we study the existence of such subschemes ▫$Z$▫ for foliations with reduced singular subscheme. Unlike the degree of such subschemes is not sharp for the posed problem, we show that it is so in the sense that ▫$Z$▫ defines the so-called polar net of the foliation. Some characterization results are presented.
Type of material - dissertation
; adult, serious
Publication and manufacture - Messina : [G. M. Bisci], Anno accademico 2002-2003
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