Add to ORKGWe prove a conjecture of Colliot-Thélène that implies the Ax-Kochen Theorem on p-adic forms. We obtain it as an easy consequence of a diophantine purity theorem whose proof forms the body of the present paper.nrpages: 14status: publishe
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
confirmation of Artin’s Conjecture. Let n, t and d1,..., dt be natural numbers. Then Ax and Kochen s...
Dedicated to the memory of Professor Jun-ichi Igusa Abstract. We give an algebraic geometric proof o...
We show that a system of r quadratic forms over a -adic field in at least 4r+1 variables will have a...
Contains fulltext : 176376.pdf (preprint version ) (Open Access
This is a survey on Diophantine equations, with the purpose being to give the flavour of some known ...
Commets are welcome !Fontaine has formulated conjectures (which are now theorems) relating \'etale a...
We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersecti...
28 pages; final version, to appear in Compositio MathematicaInternational audienceFor an optimal mod...
These are the notes of a course for the summer school Model Theory in Bilbao hosted by the Basque Ce...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
The classical Iwasawa main conjecture identifies two seemingly rather different power series in one ...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
confirmation of Artin’s Conjecture. Let n, t and d1,..., dt be natural numbers. Then Ax and Kochen s...
Dedicated to the memory of Professor Jun-ichi Igusa Abstract. We give an algebraic geometric proof o...
We show that a system of r quadratic forms over a -adic field in at least 4r+1 variables will have a...
Contains fulltext : 176376.pdf (preprint version ) (Open Access
This is a survey on Diophantine equations, with the purpose being to give the flavour of some known ...
Commets are welcome !Fontaine has formulated conjectures (which are now theorems) relating \'etale a...
We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersecti...
28 pages; final version, to appear in Compositio MathematicaInternational audienceFor an optimal mod...
These are the notes of a course for the summer school Model Theory in Bilbao hosted by the Basque Ce...
AbstractA special case of a conjecture attributed to Artin states that any system of two homogeneous...
The classical Iwasawa main conjecture identifies two seemingly rather different power series in one ...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...