9 citations · 11 across the 3 of their papers we have counts for
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math.DS2005
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…
math.DS2004★ 2 cited
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…
math.DS2003★ 9 cited
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…