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Семинар им. В. А. Исковских
1 апреля 2021 г. 18:00, г. Москва, МИАН, комн. 530 (ул. Губкина, 8)


Toric geometry and singularities on K-moduli

Andrea Petracci

Freie Universität Berlin



Аннотация: 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 produces singularities (even reducible / non-reduced / non-Cohen-Macaulay) on K-moduli stacks and K-moduli spaces of Fano varieties (which were recently constructed using K-stability). This is joint work with Anne-Sophie Kaloghiros.

Язык доклада: английский


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