Exact algorithms for p-adic fields and epsilon constant conjectures

Bley, Werner; Breuning, Manuel

Illinois J. Math., Tome 52 (2008) no. 1, p. 773-797 / Harvested from Project Euclid

Résumé

We describe an algorithmic approach to prove or disprove several recent conjectures for epsilon constants of Galois extensions of p-adic fields and number fields. For this approach, we must develop various algorithms for computations in Galois extensions of p-adic fields which are of independent interest. Our algorithms for p-adic fields are based on existing algorithms for number fields and are exact in the sense that we do not need to consider approximations to p-adic numbers.

Publié le : 2008-05-15
Classification: 11Y40, 11S23, 11S25

@article{1254403714,
     author = {Bley, Werner and Breuning, Manuel},
     title = {Exact algorithms for p-adic fields and epsilon constant conjectures},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 773-797},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1254403714}
}

Bley, Werner; Breuning, Manuel. Exact algorithms for p-adic fields and epsilon constant conjectures. Illinois J. Math., Tome 52 (2008) no. 1, pp.  773-797. http://gdmltest.u-ga.fr/item/1254403714/