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