Hyperelliptic Jacobians without Complex Multiplication in Positive Characteristic

@inproceedings{Zarhin2008HyperellipticJW,
  title={Hyperelliptic Jacobians without Complex Multiplication in Positive Characteristic},
  author={Yuri G. Zarhin},
  year={2008}
}
has only trivial endomorphisms over an algebraic closure of the ground field K if the Galois group Gal(f) of the polynomial f ∈ K[x] of even degree is “very big”. More precisely, if f is a polynomial of even degree n ≥ 10 and Gal(f) is either the symmetric group Sn or the alternating group An then End(J(C)) = Z. Notice that it is known [10] that in this… CONTINUE READING