Computing Néron–Severi groups and cycle class groups
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Publication:5251377
DOI10.1112/S0010437X14007878zbMath1316.14017arXiv1210.3720MaRDI QIDQ5251377
Damiano Testa, Ronald van Luijk, Bjorn Poonen
Publication date: 20 May 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.3720
Étale and other Grothendieck topologies and (co)homologies (14F20) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Picard groups (14C22) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25)
Related Items (14)
Pell surfaces ⋮ Explicit uniform bounds for Brauer groups of singular \(K3\) surfaces ⋮ The isomorphism problem of projective schemes and related algorithmic problems ⋮ Separation of periods of quartic surfaces ⋮ Explicit computation of a Galois representation attached to an eigenform over \(\mathrm{SL}_3\) from the \(\mathrm{H}_{\acute{\mathrm{e}}\mathrm{t}}^2\) of a surface ⋮ Computation of étale cohomology on curves in single exponential time ⋮ Bounds on the torsion subgroups of Néron–Severi groups ⋮ Arithmetic of K3 Surfaces ⋮ On the arithmetic of a family of degree - two K3 surfaces ⋮ A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants ⋮ Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality ⋮ ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION ⋮ Bounds on the torsion subgroup schemes of Néron-Severi group schemes ⋮ Commitment schemes and diophantine equations
Cites Work
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