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Birationally rigid Fano threefold hypersurfaces

About this Title

Ivan Cheltsov and Jihun Park

Publication: Memoirs of the American Mathematical Society
Publication Year: 2017; Volume 246, Number 1167
ISBNs: 978-1-4704-2316-2 (print); 978-1-4704-3643-8 (online)
Published electronically: December 6, 2016
Keywords:Fano hypersurface, weighted projective space, birationally rigid; birational involution

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Table of Contents


  • Chapter 1. Introduction
  • Chapter 2. Smooth points and curves
  • Chapter 3. Singular points
  • Chapter 4. Birational involutions
  • Chapter 5. Proof of Main Theorem
  • Chapter 6. Epilogue


We prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher and Reid is birationally rigid.

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