Special lifts of ordinary K3 surfaces and applications

Details Special lifts of ordinary K3 surfaces and applications Special lifts of ordinary K3 surfaces and applications

2006-11-15

arxiv.org/abs/math/0611481v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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.

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