We give a new example of a curve C algebraically, but not rationally, uniformized by radicals. This means that C has no map onto the projective line P with solvable Galois group, while there exists a curve C' that maps onto C and has a finite morphism to P with solvable Galois group. It is also an example of a genus 9 curve that does not satisfy condition S(4,2,9) of Abramovich and Harris.
A New Curve Algebraically but not Rationally Uniformized by Radicals
PIROLA, GIAN PIETRO;
2014-01-01
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 the projective line P with solvable Galois group, while there exists a curve C' that maps onto C and has a finite morphism to P with solvable Galois group. It is also an example of a genus 9 curve that does not satisfy condition S(4,2,9) of Abramovich and Harris.File in questo prodotto:
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