Absolutely simple prymians of trigonal curves. (English. Russian original) Zbl 1312.14102
Proc. Steklov Inst. Math. 264, 204-215 (2009); translation from Tr. Mat. Inst. Steklova 264, 212-223 (2009).
Summary: Using Galois theory, we explicitly construct absolutely simple (principally polarized) Prym varieties that are not isomorphic to jacobians of curves even if we ignore the polarizations.
MSC:
| 14K05 | Algebraic theory of abelian varieties |
| 14H40 | Jacobians, Prym varieties |
| 11G10 | Abelian varieties of dimension \(> 1\) |
Software:
MagmaReferences:
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