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Titlebook: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds; Radu Laza,Matthias Schütt,Noriko Yui Book 2013 Springer Science+Business

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User Management and Database SecurityIn these lecture notes we review different aspects of the arithmetic of K3 surfaces. Topics include rational points, Picard number and Tate conjecture, zeta functions and modularity.
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User Management and Database SecurityWe give all the elliptic fibrations of the K3 surface associated to the modular group Γ.(8).
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User Management and Database SecurityWe extend to arbitrary characteristic some known results on automorphisms of complex Enriques surfaces that act identically on the cohomology or the cohomology modulo torsion.
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User Management and Database SecurityThe purpose of this note is twofold. We first review the theory of Fourier–Mukai partners together with the relevant part of Nikulin’s theory of lattice embeddings via discriminants. Then we consider Fourier–Mukai partners of . surfaces in the presence of polarisations, in which case we prove a counting formula for the number of partners.
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K3 and Enriques SurfacesThis is a note on my introductory lectures on .3 and Enriques surfaces in the workshop “Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds” held at the Fields Institute. No new results are included.
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Two Lectures on the Arithmetic of K3 SurfacesIn these lecture notes we review different aspects of the arithmetic of K3 surfaces. Topics include rational points, Picard number and Tate conjecture, zeta functions and modularity.
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