Interpolation for Polynomials in Two Variables

Interpolation for Polynomials in Two Variables

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The Cone Theorem

12 of 19

12 of 19

The Cone Theorem

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Classroom Contents

Interpolation for Polynomials in Two Variables

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  1. 1 Intro
  2. 2 General setup
  3. 3 Naive dimension counts
  4. 4 The Picard Group
  5. 5 The Intersection Form
  6. 6 Virtual and Expected Dimension
  7. 7 Segre's Conjecture
  8. 8 SGHH Conjecture
  9. 9 Nagata's Conjecture
  10. 10 Effective classes
  11. 11 The Interesting Cones
  12. 12 The Cone Theorem
  13. 13 Cones, Extremal Rays
  14. 14 The Nefness Lemma
  15. 15 Good and Wonderful Rays
  16. 16 The A-Conjecture
  17. 17 Examples of Good Rays
  18. 18 Outline of the proof
  19. 19 A bit more evidence

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