On Rational Cubic Fourfolds Containing Veronese Surfaces

On Rational Cubic Fourfolds Containing Veronese Surfaces

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Intro

1 of 16

1 of 16

Intro

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On Rational Cubic Fourfolds Containing Veronese Surfaces

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  1. 1 Intro
  2. 2 Special cubic fourfolds
  3. 3 Kuznetsov component and rationality conjecture
  4. 4 Main idea
  5. 5 Cubic fourfolds containing a Veronese surface
  6. 6 An involution on C20 Proposition
  7. 7 Main Theorem (0)
  8. 8 Ingredients for proving AxAX
  9. 9 Mukai lattice and derived Torelli
  10. 10 Transcendental lattices and blowup formula
  11. 11 Sketch of proof: Ax Ax
  12. 12 Idea of proving X X
  13. 13 Algebraic lattices
  14. 14 Sketch of proof: XXX Proposition
  15. 15 Sketch of proof: Fourier-Mukai partners of Ax (cont'd)
  16. 16 Main Theorem (II): New rational cubic fourfolds

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