|Titolo||A new curve algebraically but not rationally uniformized by radical|
|Autore/i||Pirola, G.P.;Rizzi,C.;Schlesinger, E.|
|Link||Download full text|
|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.|