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arxiv: 1305.3073 · v3 · pith:CDLAC5G6new · submitted 2013-05-14 · 🧮 math.AG

Lines generate the Picard groups of certain Fermat surfaces

classification 🧮 math.AG
keywords fermatlinespicardanswercertainclassescontainedgenerate
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We answer a question of T.Shioda and show that, for any positive integer $m$ prime to 6, the Picard group of the Fermat surface $\Phi_m$ is generated by the classes of lines contained in $\Phi_m$.

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