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arxiv: 0809.4887 · v2 · submitted 2008-09-29 · 🧮 math.AG · math.NT

Absolutely simple Prymians of trigonal curves

classification 🧮 math.AG math.NT
keywords mathabsolutelycurvessimpleapproachconstructevenexplicitly
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Using Galois Theory, we construct explicitly absolutely simple (principally polarized) Prym varieties that are not isomorphic to jacobians of curves even if we ignore the polarizations. Our approach is based on the previous papers math/0610138 [math.AG] and math/0605028 [math.AG] .

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