Sections of families of hypersurfaces of large degree
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Seminar
Christophe Mourougane (Rennes) - Seminar Algebraische Geometrie (SAG)
| What |
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|---|---|
| When |
Dec 01, 2011 from 10:30 am to 11:30 am |
| Where | Hörsaal MPI, Vivatsgasse 7 |
| Contact Name | Sachinidis |
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As an answer to Mordell problem over function fields,
Grauert and Manin showed that a non-isotrivial algebraic family of compact complex
hyperbolic curves has finitely many sections.
We consider a generic moving enough family of high enough degree hypersurfaces
in a complex projective space.
We show the existence of a strict closed subset of its total space
that contains the image of all its sections.
