Codice | QDD 69 |
Titolo | A new curve algebraically but not rationally uniformized by radical |
Data | 2010-10-22 |
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. |
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