Hyperelliptic jacobians without complex multiplication in positive characteristic

Yuri G. Zarhin

Hyperelliptic jacobians without complex multiplication in positive characteristic

代数几何 2007-05-23 v1 数论

作者: Yuri G. Zarhin

摘要

We prove that in odd characteristic the jacobian of a hyperelliptic curve $y^2=f(x)$ has no nontrivial endomorphisms over an algebraic closure of the ground field if the Galois group of the polynomial $f$ of even degree is ``very big". The case of characteristic zero was previously treated by the author (Math. Res. Letters 7(2000), 123--132).

关键词

hyperelliptic curves galois theory

引用

@article{arxiv.math/0101050,
  title  = {Hyperelliptic jacobians without complex multiplication in positive characteristic},
  author = {Yuri G. Zarhin},
  journal= {arXiv preprint arXiv:math/0101050},
  year   = {2007}
}

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LaTeX2e, 6 pages

Hyperelliptic jacobians without complex multiplication in positive characteristic

摘要

关键词

引用

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