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Displaying 61 – 80 of 135

The Number-System of Algebra [Book]

Henry Burchard Fine (1891)

The $p$ -adic local monodromy theorem for fake annuli

Kiran S. Kedlaya (2007)

Rendiconti del Seminario Matematico della Università di Padova

The p-adic differential equation y' = wy in the closed unit disk.

Alain Escassut, Marie-Claude Sarmant (1990)

Collectanea Mathematica

The period-index problem in WC-groups IV: a local transition theorem

Pete L. Clark (2010)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a complete discretely valued field with perfect residue field $k$ . Assuming upper bounds on the relation between period and index for WC-groups over $k$ , we deduce corresponding upper bounds on the relation between period and index for WC-groups over $K$ . Up to a constant depending only on the dimension of the torsor, we recover theorems of Lichtenbaum and Milne in a “duality free” context. Our techniques include the use of LLR models of torsors under abelian varieties with good reduction and...

The Picard-Vessiot closure in differential Galois theory

Andy R. Magid (2002)

Banach Center Publications

The prime spectrum of an infinite product of copies of Z

Ronnie Levy, Philippe Loustaunau, Jay Shapiro (1991)

Fundamenta Mathematicae

The Pythagoras number of some affine algebras and local algebras.

T.Y. Lam, M.D. Choi, Z.D. Dai (1982)

Journal für die reine und angewandte Mathematik

The Pythagorean closure of fields.

Malcolm P. Griffin (1976)

Mathematica Scandinavica

The quadratic form transfer and valuations.

Martin Krüskemper (1992)

Manuscripta mathematica

The quasi-real extension of the real numbers

Angeliki Kontolatou (1993)

Acta Mathematica et Informatica Universitatis Ostraviensis

The radical factors of $f (x) - f (y)$ over finite fields.

Gomez-Calderon, Javier (1997)

International Journal of Mathematics and Mathematical Sciences

The rationality of the Poincaré series associated to the p-adic points on a variety.

J. Denef (1984)

Inventiones mathematicae

The reduced length of a polynomial with complex coefficients

A. Schinzel (2008)

Acta Arithmetica

The reduced Wittring

Eberhard Becker (1979)

Mémoires de la Société Mathématique de France

The regular inverse Galois problem over non-large fields

Jochen Koenigsmann (2004)

Journal of the European Mathematical Society

By a celebrated theorem of Harbater and Pop, the regular inverse Galois problem is solvable over any field containing a large field. Using this and the Mordell conjecture for function fields, we construct the first example of a field $K$ over which the regular inverse Galois problem can be shown to be solvable, but such that $K$ does not contain a large field. The paper is complemented by model-theoretic observations on the diophantine nature of the regular inverse Galois problem.

Currently displaying 61 – 80 of 135