Pseudoautomorphisms with invariant elliptic curves

preprint2014arXivOpen access

Abstract

We describe an explicit method for constructing pseudo-automorphisms of a space XX which is obtained by blowing up points of PkP^k (or a product Pk×⋯×PkP^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 11.

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