Continuity of the Green function in meromorphic families of polynomials
Abstract
We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- arXiv:
- arXiv:1706.04676
- Bibcode:
- 2017arXiv170604676F
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Complex Variables
- E-Print:
- Modified references. Added a corollary about the adelic metric associated with an algebraic family endowed with a marked point