Sur la complexité du principe de Tarski-Seidenberg
The Algebraic nature of the elementary theory of PRC fields.
The Field of Reals with a Predicate for the Powers of Two.
The limit behaviour of exponential terms
The rationality of the Poincaré series associated to the p-adic points on a variety.
The regular inverse Galois problem over non-large fields
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 over which the regular inverse Galois problem can be shown to be solvable, but such that does not contain a large field. The paper is complemented by model-theoretic observations on the diophantine nature of the regular inverse Galois problem.
Théorie des modèles pour des anneaux de fonctions entières et des corps de fonctions méromorphes
Towards a Katona type proof for the 2-intersecting Erdős-Ko-Rado theorem.
Triangulation in o-minimal fields with standard part map
In answering questions of J. Maříková [Fund. Math. 209 (2010)] we prove a triangulation result that is of independent interest. In more detail, let R be an o-minimal field with a proper convex subring V, and let st: V → k be the corresponding standard part map. Under a mild assumption on (R,V) we show that a definable set X ⊆ Vⁿ admits a triangulation that induces a triangulation of its standard part st X ⊆ kⁿ.
Two theorems on regularly r-closed fields.
Valuations of function fields form the geometrical point of view.
Абсолютная неприводимость и свойства гензелизаций.
Кратно нормированные поля. II.
О вопросе Ярдина-Шелаха
Об отображении ограничения пространств порядков полей
Обобщенно аналитические множества.
Относительная регулярная замкнутость и -нормирования
Поля с непрерывным локальными элементарными свойствами. II
Поля с непрерывными локальными элементарными свойствами. I
Поля с непрерывными локальными элементарными свойствами.III