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O-Minimality and Hodge Theory - Definable GAGA + Griffiths Conjecture
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- 1 Intro
- 2 Hodge structures: Algebraic Varieties
- 3 Period maps: Griffiths Conjecture
- 4 Griffiths Conjecture: Remarks
- 5 Definable Analytic Spaces
- 6 Definable Oka Coherence
- 7 Oka Coherence: Corollaries
- 8 Sketch of proof of GAGA
- 9 Definabilization: Properties
- 10 No GAGA for analytification functor
- 11 Algebarization Theorem: non-reduced period maps
- 12 Key Square-Zero Proposition
- 13 Proof of Proposition = Theorem
- 14 Further Results and Questions