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math.DS2009
Brjuno conditions for linearization in presence of resonances
Jasmin Raissy
We present a new proof, under a slightly different (and more natural) arithmetic hypothesis, and using direct computations via power series expansions, of a holomorphic linearizati…
math.DS2009
Torus actions in the normalization problem
Jasmin Raissy
Let be a germ of biholomorphism of $\C^n$, fixing the origin. We show that if the germ commutes with a torus action, then we get information on the germs that can be conjugated…