100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

On strongly exceptional sequences of line bundles on toric varieties.

Lundi, 6 Mars, 2006 - 11:30
Prénom de l'orateur : 
Nom de l'orateur : 
Résumé : 

A by now classical result of Beilinson states that the
bounded derived category of coherent sheaves over projective
space is generated by a finite set of line bundles, which form
a so-called strongly exceptional collection. It is quite natural
to ask whether this generalizes to the case of toric varieties,
and in fact this is the content of a conjecture which was first
stated by King. In this talk we give an overview on the state
of King's conjecture along with examples, including the toric
3-fanos, and we also present a counterexample.

Thème de recherche : 
Algèbre et géométries
Salle : 
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