Prym varieties that are not isomorphic to Jacobian
classification
🧮 math.AG
math.NT
keywords
prymvarietiesisomorphicadmitautomorphismcomplexconstructionscovers
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We study Prym varieties of ramified (at precisely two points) double covers of smooth irreducible complex projectives curves that admit an automorphism of prime order $p>2$. Using Galois theory, we give an explicit constructions of Prym varieties that are not isomorphic to jacobians (even if one ignores the polarizations).
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