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math.AG2008
Characteristic polynomials of automorphisms of hyperelliptic curves
Robert M. Guralnick, Everett W. Howe
Let alpha be an automorphism of a hyperelliptic curve C of genus g, and let alpha' be the automorphism of P^1 induced by alpha. Let n be the order of alpha and let n' be the order…
math.AG2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees
Daniel Goldstein, Robert M. Guralnick, Everett W. Howe +1
We show that one can find two nonisomorphic curves over a field K that become isomorphic to one another over two finite extensions of K whose degrees over K are coprime to one anot…