On the monomial birational maps of the projective space

Author:

Gonzalez-Sprinberg Gérard1,Pan Ivan2

Affiliation:

1. Université de Grenoble I, France

2. Universidade Federal do Rio Grande do Sul, Brasil

Abstract

We describe the group structure of monomial Cremona transformations. It follows that every element of this group is a product of quadratic monomial transformations, and geometric descriptions in terms of fans.

Publisher

FapUNIFESP (SciELO)

Subject

Multidisciplinary

Reference8 articles.

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3. Recent works on Cremona Transformations;KATZ S;Research Notes in Math.,1992

4. Convex Bodies and Algebraic Geometry;ODA T,1988

5. Une remarque sur la génération du groupe de Cremona;PAN I;Bol Soc Bras Mat,1999

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1. The weak Lefschetz property and mixed multiplicities of monomial ideals;Journal of Algebraic Combinatorics;2024-05-21

2. Counting square-free monomial Cremona maps;São Paulo Journal of Mathematical Sciences;2022-11-22

3. Monomial Cremona transformations and toric polar maps;Communications in Algebra;2022-11-17

4. On the automorphisms of Hassett’s moduli spaces;Transactions of the American Mathematical Society;2017-05-30

5. Monomial Transformations of the Projective Space;Trends in Contemporary Mathematics;2014

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