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Zariski decomposition for curves
Lundi, 30 Novembre, 2015 - 10:30
Résumé :
We study Zariski decompositions using Legendre-Fenchel type transforms. In this way, we define a Zariski decomposition for curve classes. This decomposition enables us to develop the theory of the volume function for curves, yielding some fundamental positivity results for curve classes. We also give a refined structure of the movable cone of curves, and compare the volume function for curves with the mobility, showing some relations between enumerative geometry and convex analysis. This talk is based on the joint work with Brian Lehmann.
Institution de l'orateur :
IF
Thème de recherche :
Algèbre et géométries
Salle :
4
