Codice  QDD 69 
Titolo  A new curve algebraically but not rationally uniformized by radical 
Data  20101022 
Autore/i  Pirola, G.P.;Rizzi,C.;Schlesinger, E. 
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Abstract  We give a new example of a curve C algebraically, but not rationally, uniformized by radicals.
This means that C has no map onto P^1 with solvable Galois group, while there exists
a curve C that maps onto C and has a finite morphism to P^1 with solvable Galois group.
We construct such a curve C of genus 9 in the second symmetric product of a general curve of genus 2. It is also an example of a genus 9 curve that does not satisfy condition S(4,2,9) of Abramovich and Harris. 
