9 citations · 9 across the 7 of their papers we have counts for
4 papers · 1 filter
Meromorphic infinitesimal affine actions of the plane
Loïc Jean Dit Teyssier
We study complex Lie algebras spanned by pairs \left(Z,Y\right) of germs of a meromorphic vector field of the complex plane satisfying \left[Z,Y\right]=δY for some δ\in\ww C . This…
Analyticity in spaces of convergent power series and applications
Loïc Teyssier
We study the analytic structure of the space of germs of an analytic function at the origin of \ww C^{\times m} , namely the space \germ{\mathbf{z}} where \mathbf{z}=\left(z\_{1},\…
Analytic normal forms for convergent saddle-node vector fields
Reinhard Schäfke, Loïc Jean Dit Teyssier
We give unique analytic "normal forms" for germs of a holomorphic vector field of the complex plane in the neighborhood of an isolated singularity of saddle-node type having a conv…
Extending to the complex line Dulac's corner maps of non-degenerate planar singularities
Loïc Teyssier
We study the complex Dulac map for a holomorphic foliation of the complex plane, near a non-degenerate singularity (both eigenvalues of the linearization are nonzero) with two sepa…