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Densities of Picard Rank Jumps for K3 Surfaces Over Global Fields

Huang, Robin
arXiv (All) · Papers
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algebraic-geometrynumber-theory
Let $X$ be an algebraic K3 surface defined over a global field $K$ of characteristic $0$ or $p \geq 3$, assumed ordinary in the case where $K$ is a global function field. We provide an exact formula for the density of primes $p$ of $K$ at which the geometric Neron-Severi group of the reduction $X_p$
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