Classification of the monomial Cremona transformations of the plane

2014/07/24 by Harris, Corey
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.6764

Abstract

We classify all monomial planar Cremona maps by multidegree using recent methods developed by Aluffi. Following the main result, we prove several more properties of the set of these maps, and also extend the results to the more general `r.c. monomial' maps.

Related

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• Cremona maps defined by monomials
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• On planar Cremona maps of prime order