Polynomial contractions of $\mathbb C^d$ and degree growth

Dmitrii Korshunov

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arXiv · 2605.29386

Polynomial contractions of $\mathbb C^d$ and degree growth

Dmitrii Korshunov

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Abstract

We give a simple example of a polynomial contraction automorphism of $\mathbb C^d$, $ d\ge 3 $, with unbounded degree growth. Combined with Poincar\'e-Dulac theorem it provides an algebraic automorphism of $\mathbb C^d$, $ d\ge 3 $, which is holomorphically but not algebraically linearizable.

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Dmitrii Korshunov. 2026-05-28. Polynomial contractions of $\mathbb C^d$ and degree growth. https://arxiv.org/abs/2605.29386

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