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arxiv: 1606.01771 · v2 · pith:BDO2R2EDnew · submitted 2016-06-06 · 🧮 math.AG

The Picard Rank of an Enriques Surface

classification 🧮 math.AG
keywords enriquespicardranksurfacebetticrystallineequalgive
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In this note, we use crystalline methods and the Tate-conjecture to give a short proof that the Picard rank of an Enriques surface is equal to its second Betti number.

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