[CvGmt News] [Notiziario] [Settimanale] Seminario di sistemi dinamici olomorfi (e dintorni)

[Marco Abate]

Ricominciano i seminari del ciclo
"Sistemi dinamici olomorfi (e dintorni)": ecco il prossimo.

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  ---> Venerdi' 21 settembre 2007, ore 14:00 <----

Centro de Giorgi, Sala conferenze

Tatsuo Suwa (Niigata University)

"Analytic intersection theory and an application to complex dynamics"

ABSTRACT: We have a localization theory of characteristic classes of  
vector
bundles or sheaves, once we have some kind of vanishing theorem. One  
type of
vanishing is by the existence of a frame. The localization theory  
that arises
from this has many applications. One of them is an analytic  
intersection theory
on singular varieties. As another type of vanishing, we have that of  
Bott type,
which leads to a residue theory of singular holomorphic foliations.
	In this talk, I try to explain the analytic intersection theory on  
singular
varieties as above. Then I discuss residue theory on singular  
surfaces and, as
an application, show the existence of a parabolic curve for a  
holomorphic
self-map, tangent to the identity, of a complex surface with certain  
type of
singularities, generalizing results of M. Abate (joint work with F.  
Bracci).

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Ciao,
Marco


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Marco Abate                               Tel: +39/050/2213.230
Dipartimento di Matematica    Fax: +39/050/2213.224
Universita' di Pisa
Largo Pontecorvo 5              E-mail: abate at dm.unipi.it
56127 Pisa
Italy                                   Web: www.dm.unipi.it/~abate/

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