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Displaying similar documents to “Unramified Skolem problems and unramified arithmetic Bertini theorems in positive characteristic.”

Families of curves and alterations

A. Johan De Jong (1997)

Annales de l'institut Fourier

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In this article it is shown that any family of curves can be altered into a semi-stable family. This implies that if S is an excellent scheme of dimension at most 2 and X is a separated integral scheme of finite type over S , then X can be altered into a regular scheme. This result is stronger then the results of [ Smoothness, semi-stability and alterations to appear in Publ. Math. IHES]. In addition we deal with situations where a finite group acts.

Partial Henselizations.

Sheets, Robert W. (1981)

International Journal of Mathematics and Mathematical Sciences

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Some results on local fields

Akram Lbekkouri (2013)

Annales UMCS, Mathematica

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Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p−1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.