Inverses of monomial Cremona maps
Algebraic Geometry
2011-06-09 v3 Commutative Algebra
Abstract
We show that monomial Cremona maps of degree d on P^n can have inverses whose degree d' is quite large (for d > 2, d' = ((d-1)^n - 1)/(d-2) occurs), and that the full list of degrees d' does not always form an interval. An easy method for inverting the maps is presented.
Cite
@article{arxiv.1105.1188,
title = {Inverses of monomial Cremona maps},
author = {Peter M. Johnson},
journal= {arXiv preprint arXiv:1105.1188},
year = {2011}
}
Comments
8 pages, 3 tables; v2: corrected some typos, polished parts, added slightly more data, removed part at end for use elsewhere. v3: References updated, minor polishing in several places