Orateur : Livia Campo
Établissement : University of Vienna (Autriche)
Dates : 2025-03-13 – 2025-03-13
Heures : 14:00 – 14:00
Lieu : Salle 0-6
Résumé :
The existence of Kaehler-Einstein metrics on Fano 3-folds can
be determined by studying lower bounds of stability thresholds. An
effective way to verify such bounds is to construct flags of
point-curve-surface inside the Fano 3-folds. This approach was initiated
by Abban-Zhuang, and allows us to restrict the computation of bounds for
stability thresholds only on flags. We employ this machinery to prove
K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. This is
deeply intertwined with the geometry of the hypersurfaces: in fact,
birational rigidity and superrigidity play a crucial role. The
superrigid case had been attacked by Kim-Okada-Won. In this talk I will
discuss the K-stability of strictly rigid Fano hypersurfaces via
Abban-Zhuang Theory. This is a joint work with Takuzo Okada.