Belyi's theorem revisited.
Köck, Bernhard (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Köck, Bernhard (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Sebastian Pauli (2006)
Journal de Théorie des Nombres de Bordeaux
Similarity:
Let be a -adic field. We give an explicit characterization of the abelian extensions of of degree by relating the coefficients of the generating polynomials of extensions of degree to the exponents of generators of the norm group . This is applied in an algorithm for the construction of class fields of degree , which yields an algorithm for the computation of class fields in general.
Victor Abrashkin, Ruth Jenni (2012)
Journal de Théorie des Nombres de Bordeaux
Similarity:
The field-of-norms functor is applied to deduce an explicit formula for the Hilbert symbol in the mixed characteristic case from the explicit formula for the Witt symbol in characteristic in the context of higher local fields. Is is shown that a “very special case” of this construction gives Vostokov’s explicit formula.
Aaron Levin (2012)
Journal de Théorie des Nombres de Bordeaux
Similarity:
It is known that in the case of hyperelliptic curves the Shafarevich conjecture can be made effective, i.e., for any number field and any finite set of places of , one can effectively compute the set of isomorphism classes of hyperelliptic curves over with good reduction outside . We show here that an extension of this result to an effective Shafarevich conjecture for of hyperelliptic curves of genus would imply an effective version of Siegel’s theorem for integral points...
Kuźma, M., Lulek, B. (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity: