Recognition: unknown
Variation of Neron-Severi ranks of reductions of K3 surfaces
classification
🧮 math.NT
keywords
rankssurfacesmoduloprimesreductionsbehaviorcomputeexamples
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We study the behavior of geometric Picard ranks of K3 surfaces over the rationals under reduction modulo primes. We compute these ranks for reductions of smooth quartic surfaces modulo all primes $p<2^{16}$ in several representative examples and investigate the resulting statistics.
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