Abstract
We study the behavior of geometric Picard ranks of K3 surfaces over Q under reduction modulo primes. We compute these ranks for reductions of smooth quartic surfaces modulo all primes p < 216 in several representative examples and investigate the resulting statistics.
Original language | English (US) |
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Pages (from-to) | 475-481 |
Number of pages | 7 |
Journal | Experimental Mathematics |
Volume | 23 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2 2014 |
Keywords
- K3 surfaces
- Kedlaya's algorithm
- Variation of Picard ranks
- Variation of geometric Picard number
ASJC Scopus subject areas
- Mathematics(all)