Counting square free monomial cremona maps
Algebraic Geometry
2021-10-25 v2 Commutative Algebra
Abstract
We give a complete list of square-free Cremona maps with at most six variables, up to equivalence classes. We also build an algorithm to count monomial square-free Cremona transformations. Using this algorithm, we obtain a complete list of monomial square-free Cremona transformations in seven variables.
Cite
@article{arxiv.2110.04874,
title = {Counting square free monomial cremona maps},
author = {Bárbara Costa and Thiago Dias and Rodrigo Gondim and Ricardo Machado},
journal= {arXiv preprint arXiv:2110.04874},
year = {2021}
}
Comments
24 pages, 81 figures. arXiv admin note: substantial text overlap with arXiv:1509.06699