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• W2950862457 abstract "We develop a mixed-characteristic version of the Mori-Mukai technique for producing rational curves on K3 surfaces. We reduce modulo p, produce rational curves on the resulting K3 surface over a finite field, and lift to characteristic zero. As an application, we prove that all complex K3 surfaces with Picard group generated by a class of degree two have an infinite number of rational curves." @default.
• W2950862457 created "2019-06-27" @default.
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• W2950862457 date "2011-04-15" @default.
• W2950862457 modified "2023-10-18" @default.
• W2950862457 title "Constructing rational curves on K3 surfaces" @default.
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• W2950862457 doi "https://doi.org/10.1215/00127094-1272930" @default.
• W2950862457 hasPublicationYear "2011" @default.
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