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Add to My Calendar

Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: Mok characteristic varieties and the normal holonomy group
Quando: 18/12/2013 - 11:10
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: Antonio Di Scala
Afferenza: Politecnico di Torino
Locandina: Locandina

Descrizione:

Sunto: Let $M$ be a (connected) complex manifold holomorphically immersed in $\mathbb{CP}^n$.
Let \(T\mathbb{CP}^n|_M= TM \oplus \nu(M)\) be the orthogonal
splitting in tangent and normal bundles with respect to the
Fubini-Study metric. The normal bundle is endowed with
a canonical connection \(\nabla^\perp\) called the normal
connection. The normal holonomy group is by definition
the holonomygroup of the normal connection
of the normal bundle. I will explain how to classify such holonomy groups
and show that their action impose strong conditions
to the manifold \(M\). In particular if the action of the normal holonomy group is
irreducible but not transitive in the projectivization of
the normal bundle then \(M\) is a so called Mok characteristic varieties associated
to bounded symmetric domains. Joint work F. Vittone

Sede

Sede: Palazzo Campana - Sito web
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO