K-stability of nets of conics

23 juin 2025, 10:30
20m
Salle de conférence (Nice)

Salle de conférence

Nice

Orateur

Prof. Ivan Cheltsov (University of Edinburgh)

Description

Nancy Abdallah, Jacques Emsalem and Tony Iarrobino classified net of conics in the paper “Nets of Conics and associated Artinian algebras of length 7”, which is an extended version of the unpublished preprint “Réseaux de coniques et algèbres de longueur sept associées” by Jacques and Tony written back in 1972. In my talk, I will explain how to use this results to determine which smooth Fano 3-folds in the deformation family No. 2.24 (divisors of degree (1,2) in the product of two projective planes, see https://www.fanography.info/) admit Kahler-Einstein metric and which does not.

Documents de présentation