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