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NCTS Seminar in Algebraic Geometry
 
16:00 - 17:00, February 19, 2024 (Monday)
Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
K-moduli of Fano Threefolds of Picard Rank 4 and Degree 24
Ivan Cheltsov (The University of Edinburgh)

Abstract
Smooth Fano threefolds of Picard rank 4 and degree 24 are divisors in of degree . All of them are K-stable by a theorem of Grisha Belousov and Costya Loginov from Moscow. It is natural to expect that all singular K-polystable limits of these Fano threefolds are also divisors in of degree , and the corresponding K-moduli space can be obtained as a natural GIT quotient, which is classically known (but not well known) to be isomorphic to the weighted projective space . Surprisingly, this is not the case - some singular K-polystable limits of smooth Fano threefolds of Picard rank 4 and degree 24 are not divisors in of degree . In this talk, I will find all singular K-polystable limits of smooth Fano threefolds of Picard rank 4 and degree 24, and show that the corresponding K-moduli space is a weighted blow up of at a smooth point with weights . This is a joint work with Maksym Fedorchuk (Boston), Kento Fujita (Osaka) and Anne-Sophie Kaloghiros (London).
 
Link information
Zoom ID:838 7836 1163
passcode:714285
 
Organizer: Jungkai Chen (NTU)


 

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