Monomial transformations of the projective space
Algebraic Geometry
2014-01-14 v1
Abstract
We prove that, over any field, the dimension of the indeterminacy locus of a rational transformation of which is defined by monomials of the same degree with no common factors is at least , provided that the degree of as a map is not divisible by . This implies upper bounds on the multidegree of .
Cite
@article{arxiv.1401.2631,
title = {Monomial transformations of the projective space},
author = {Olivier Debarre and Bodo Lass},
journal= {arXiv preprint arXiv:1401.2631},
year = {2014}
}