Toric geometry and singularities on K-moduli
Andrea Petracci (Freie Universität Berlin)
Abstract: An immediate consequence of Kodaira-Akizuki-Nakano vanishing is that smooth Fano varieties have unobstructed deformations. The same holds for singular Fano varieties with mild singularities and small dimension. In this talk I will show how to use the combinatorics of lattice polytopes to construct examples of K-polystable toric Fano varieties with obstructed deformations, dimension at least 3, and canonical singularities. This method produces singularities (even reducible and non-reduced) on K-moduli stacks and K-moduli spaces of Fano varieties. This is joint work with Anne-Sophie Kaloghiros.
algebraic geometry
Audience: researchers in the topic
Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).
| Organizers: | Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia* |
| *contact for this listing |