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Géométrie des surfaces K3 : modules et périodes (séminaire Palaiseau)

Géométrie des surfaces K3 : modules et périodes (séminaire Palaiseau)

Géométrie des surfaces K3 : modules et périodes (séminaire Palaiseau)
     
                
  • Année : 1985
  • Tome : 126
  • Format : Électronique, Papier
  • Langue de l'ouvrage :
    Français
  • Nb. de pages : 202
  • ISBN : ISBN-13 978-2-85629-420-8

This set of notes of the Geometry Seminar held at Ecole Polytechnique in the fall of 1981 is devoted to the geometry of K3 surfaces. This subject which has already a long history developed very quickly in recent years. It shows an interesting interplay between techniques of both differential and algebraic geome-try. The period mapping gives a nice parametrization of the moduli space thanks to appropriate Torelli theorems (both local and global). These notes include also a simplified proof of the fact that any K3 surface is kahlerian ( a theorem of Y.T.Siu). Examples of higher dimensional complex manifolds with vanishing first Chern class generalizing appropriately K3 surfaces are also presented. These notes have been kept as self-contained as possible in order to make the subject accessible to non-specialists.

 

This set of notes of the Geometry Seminar held at Ecole Polytechnique in the fall of 1981 is devoted to the geometry of K3 surfaces. This subject which has already a long history developed very quickly in recent years. It shows an interesting interplay between techniques of both differential and algebraic geome-try. The period mapping gives a nice parametrization of the moduli space thanks to appropriate Torelli theorems (both local and global). These notes include also a simplified proof of the fact that any K3 surface is kahlerian ( a theorem of Y.T.Siu). Examples of higher dimensional complex manifolds with vanishing first Chern class generalizing appropriately K3 surfaces are also presented. These notes have been kept as self-contained as possible in order to make the subject accessible to non-specialists.


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