Inverses of monomial Cremona maps

Details Inverses of monomial Cremona maps Inverses of monomial Cremona maps

2011-05-05

arxiv.org/abs/1105.1188v3

Mathematics

Algebraic Geometry

8 pages, 3 tables; v2: corrected some typos, polished parts, added slightly more data, removed part at end for use elsewhere.

Scientific paper

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.

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