On the profinite regular inverse Galois Problem
CADORET, Anna
Institut de Mathématiques de Bordeaux [IMB]
Théorie des Nombres et Algorithmique Arithmétique [A2X]
Institut de Mathématiques de Bordeaux [IMB]
Théorie des Nombres et Algorithmique Arithmétique [A2X]
CADORET, Anna
Institut de Mathématiques de Bordeaux [IMB]
Théorie des Nombres et Algorithmique Arithmétique [A2X]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Théorie des Nombres et Algorithmique Arithmétique [A2X]
Language
en
Article de revue
This item was published in
Research Institute for Mathematical Sciences. 2008, vol. 44, p. 1143-1168
English Abstract
Given a field k, a k-curve X and a k-rational divisor t ⊂ X, we analyze the constraints imposed on X and t by the existence of abelian G-covers f : Y → X defined over k and unramified outside t. We show that these constraints ...Read more >
Given a field k, a k-curve X and a k-rational divisor t ⊂ X, we analyze the constraints imposed on X and t by the existence of abelian G-covers f : Y → X defined over k and unramified outside t. We show that these constraints produce an obstruction to the weak regular inverse Galois problem for a whole class of profinite groups - we call p-obstructed - when k is a finitely generated field of characteristic ̸= p.Read less <
Origin
Hal imported