@inproceedings{Zarhin2008HyperellipticJW, title={Hyperelliptic Jacobians without Complex Multiplication in Positive Characteristic}, author={Yuri G. Zarhin}, year={2008} }

- Published 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

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