Upper-bound for the number of robust parabolic curves for a class of maps tangent to identity

Degli Innocenti, Francesco; Frosini, Chiara

doi:10.1090/S0002-9939-2010-10503-8

Upper-bound for the number of robust parabolic curves for a class of maps tangent to identity
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by Francesco Degli Innocenti and Chiara Frosini PDF

Proc. Amer. Math. Soc. 139 (2011), 619-625 Request permission

Abstract:

In this paper we provide an upper-bound for the number of robust parabolic curves for germs of biholomorphisms in $\mathbb {C}^2$ which are tangent to the identity and which are time-one flows of a holomorphic vector field.

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