SU\G(𝔸)/K·U

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Special Lifts of Ordinary K3 Surfaces and Applications

Special Lifts of Ordinary K3 Surfaces and Applications

We study the cohomological properties of quasi-canonical lifts of an ordinary K3 surface over a finite field.As applications, we obtain 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 field of complex numbers.