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arxiv: math/0701115 · v2 · submitted 2007-01-04 · 🧮 math.AG

Non-homeomorphic conjugate complex varieties

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keywords complexconjugateexamplesnon-homeomorphicvarietiesapplicationarithmeticgenus
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We present a method to produce examples of non-homeomorphic conjugate complex varieties based on the genus theory of lattices. As an application, we give examples of arithmetic Zariski pairs.

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