9 citations · 11 across the 3 of their papers we have counts for
4 papers
Index theorems for holomorphic self-maps
Marco Abate, Filippo Bracci, Francesca Tovena
Let be a complex manifold and a (possibly singular) subvariety of . Let be a holomorphic map such that restricted to is the identity. W…
Formal normal forms for holomorphic maps tangent to the identity
Marco Abate, Francesca Tovena
We describe a procedure for constructing formal normal forms of holomorphic maps with a hypersurface of fixed points, and we apply it to obtain a complete list of formal normal for…
Discrete local holomorphic dynamics
Marco Abate
This is a survey on the local structure about a fixed point of discrete finite-dimensional holomorphic dynamical systems, discussing in particular the existence of local topologica…
Diagonalization of non-diagonalizable discrete holomorphic dynamical systems
Marco Abate
We describe a canonical procedure for associating to any (germ of) holomorphic self-map f of C^n fixing the origin such that df_O is invertible and non-diagonalizable an n-dimensio…