On the automorphism group of rational manifolds

Abstract

In this note, we prove that every automorphism of a rational manifold which is obtained from ${\mathbb{P}}^k$ by a finite sequence blow-ups along smooth centers of dimension at most r with k>2r+2 has zero topological entropy.

6 pages

References in corpus (1)

• On automorphisms of blowups of ${\mathbb{P}}^3$

Cited by in corpus (2)

• On automorphisms of blowups of ${\mathbb{P}}^3$
• On automorphisms of blowups of projective manifolds