On the lower bound of the Calabi type functional

Lundi 4 novembre 14:00-15:00 - Tomoyuki Hisamoto - Graduate School of Mathematics, Nagoya University

Résumé : Given a Fano manifold X, we study how it is far from Kähler-Einstein. The problem is more specifically formulated in terms of the curvature integration defined for each metric and we characterize the lower bound of the integral in words of algebraic geometry (using equivariant degenerations of X). The proof exploits the canonical geometric flow and the associated multiplier ideal sheaves.

Lieu : IMO ; salle 3L15.

On the lower bound of the Calabi type functional  Version PDF