Pseudoautomorphisms with invariant elliptic curves

Abstract

We describe an explicit method for constructing pseudo-automorphisms of a space $X$ which is obtained by blowing up points of $P^k$ (or a product $P^k\times \cdots \times P^k$). The centers of blowup are chosen to lie on an elliptic normal curve and are determined using the arithmetic on the curve. These pseudo-automorphism have dynamical degree greater than $1$.

References in corpus (1)

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

Cited by in corpus (3)

• Some aspects of explicit birational geometry inspired by complex dynamics
• Invertible dynamics on blow-ups of P^k
• Some properties of the group of birational maps generated by the automorphisms of ${\mathbb{P}}_{\mathbb{C}}^n$ and the standard involution