Supersingular K3 surfaces for large primes
Given a K3 surface X over a field of characteristic p, Artin conjectured that if X is supersingular (meaning infinite height), then its Picard rank is 22. Along with work of Nygaard-Ogus, this conjecture implies the Tate conjecture for K3 surfaces over finite fields with p≥5. We prove Artin's c...
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| Format: | Article |
| Language: | English |
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Duke University Press,
2018-05-29T13:33:21Z.
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| Online Access: | Get fulltext |