{ "id": "1401.2386", "version": "v1", "published": "2014-01-10T15:58:58.000Z", "updated": "2014-01-10T15:58:58.000Z", "title": "Pseudoautomorphisms with invariant elliptic curves", "authors": [ "Eric Bedford", "Jeffery Diller", "Kyounghee Kim" ], "categories": [ "math.DS", "math.AG" ], "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 $1$.", "revisions": [ { "version": "v1", "updated": "2014-01-10T15:58:58.000Z" } ], "analyses": { "subjects": [ "37F10", "32H50", "14E07", "14J50", "14H52" ], "keywords": [ "invariant elliptic curves", "pseudoautomorphisms", "elliptic normal curve", "explicit method", "dynamical degree greater" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.2386B" } } }