A conjecture of Ax and degenerations of Fano varieties

Kollár, János

A conjecture of Ax and degenerations of Fano varieties

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James Ax conjectured that every pseudo algebraically closed field is $C_1$. We prove this conjecture in characteristic 0 by relating it to degenerations of Fano varieties.

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Algebraic Geometry, Number Theory, 12E30 14J45 (primary) 11U05 14G27 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106258

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512375
http://arxiv.org/abs/math/0512375

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A conjecture of Ax and degenerations of Fano varieties

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