172 citations · 2.4k across the 108 of their papers we have counts for
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Birational properties of tangent to the identity germs without non-degenerate singular directions
Samuele Mongodi, Matteo Ruggiero
We provide a family of isolated tangent to the identity germs which possess only degenerate characteristic directions, and for which the l…
Local dynamics of non-invertible maps near normal surface singularities
William Gignac, Matteo Ruggiero
We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs , where is a complex surface having $x_…
Classification of one-dimensional superattracting germs in positive characteristic
Matteo Ruggiero
We give a classification of superattracting germs in dimension one over a complete normed algebraically closed field of positive characteristic up to conjugacy. In particular we sh…
Normal surface singularities admitting contracting automorphisms
Charles Favre, Matteo Ruggiero
We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface a…
Growth of attraction rates for iterates of a superattracting germ in dimension two
William Gignac, Matteo Ruggiero
We study the sequence of attraction rates of iterates of a dominant superattracting holomorphic fixed point germ f:(C^2,0)->(C^2,0). By using valuative techniques similar to those…
Contracting rigid germs in higher dimensions
Matteo Ruggiero
Following Favre, we define a holomorphic germ f:(C^d,0) -> (C^d,0) to be rigid if the union of the critical set of all iterates has simple normal crossing singularities. We give a…