Variation of Néron–Severi Ranks of Reductions of K3 Surfaces

DOI10.1080/10586458.2014.947054zbMath1311.14039arXiv1405.2265OpenAlexW1966938553MaRDI QIDQ5498935

Yuri Tschinkel, Edgar Costa

Publication date: 11 February 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2265

zbMATH Keywords

good reduction\(K3\) surfacecohomology groupFrobenius actionHodge structureKedlaya's algorithm

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Picard groups (14C22)

Related Items (12)

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields ⋮ Zeta types and Tannakian symbols as a method for representing mathematical knowledge ⋮ Counting points with Berglund–Hübsch–Krawitz mirror symmetry ⋮ On the distribution of the Picard ranks of the reductions of a \(K3\) surface ⋮ Hypergeometric decomposition of symmetric \(K3\) quartic pencils ⋮ Unnamed Item ⋮ Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology ⋮ A census of zeta functions of quartic K surfaces over ⋮ Arithmetic of K3 Surfaces ⋮ Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence ⋮ On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations ⋮ Curves on \(K3\) surfaces

Cites Work

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• K3 Surfaces of Picard Rank One and Degree Two
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