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The uniqueness of K-polystable Fano degeneration

Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces January 31, 2019 - February 08, 2019

January 31, 2019 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Chenyang Xu (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
  • K-stability

  • Fano variety

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



(Joint with Harold Blum) We want to show that a family of Fano varieties has a unique K-polystable degeneration. This is one step of the program of constructing a moduli space of K-stable Fano varieties, i.e., proving there is an Artin stack parametrizing K-semistable Fano varieties, which admits a projective good moduli space parametrizing K-polystable Fano varieties.

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