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 conjec...
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Duke University Press
2018
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| Online Access: | http://hdl.handle.net/1721.1/115923 https://orcid.org/0000-0002-7525-318X |