Special lifts of ordinary K3 surfaces and applications

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We study the cohomological properties of quasi-canonical lifts of an ordinary K3 surface over a finite field. As applications, we prove a Torelli type theorem for ordinary K3 surfaces over finite fields and establish the Hodge conjecture for arbitrary self products of certain K3 surfaces over the complex numbers.
18 pages

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Algebraic Geometry, 14J28 (Primary) 14C25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/119304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611481
 http://arxiv.org/abs/math/0611481

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arXiv