2 citations · 2 across the 6 of their papers we have counts for
7 papers
Irrational series II Summation by packages
Olivier Thom
Discrete sums of exponentials with positive exponents may converge not normally in neighborhoods of which do not contain half-planes…
Irrational series I Laplace transform in a neighborhood of
Olivier Thom
Discrete sums of exponentials with positive exponents may converge not normally in neighborhoods of which do not contain half-planes…
About foliations by holomorphic curves on complex surfaces
Olivier Thom
We study those real foliations in complex surfaces whose leaves are holomorphic curves. The main motivation is to try and understand these foliations in neighb…
On the formal principle for curves on projective surfaces
Jorge Vitório Pereira, Olivier Thom
We prove that the formal completion of a complex projective surface along a rigid smooth curve with trivial normal bundle determines the birational equivalence class of the surface…
Formal classication of two-dimensional neighborhoods of genus g 2 curves with trivial normal bundle
Olivier Thom
In this paper we study the formal classication of two-dimensional neighborhoods of genus g 2 curves with trivial normal bundle. We first construct formal foliations on such n…
Two dimensional neighborhoods of elliptic curves: formal classification and foliations
Frank Loray, Olivier Thom, Frédéric Touzet
We classify two dimensional neighborhoods of an elliptic curve C with torsion normal bundle, up to formal equivalence. The proof makes use of the existence of a pair (indeed a penc…
Pairs of Morse functions
Olivier Thom
The goal of this paper is to classify pairs of Morse functions in general position modulo the action of different groups.In particular, we obtain the classification of generic pair…