Counting square free monomial cremona maps Article Swipe

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Bárbara Regina Lopes Costa , Thiago Magela Rodrigues Dias , Rodrigo Gondim , Ricardo Antônio Francisco Machado ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2110.04874

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.

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Monomial Square (algebra) Mathematics Equivalence (formal languages) Combinatorics Square-free integer Discrete mathematics Geometry

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2110.04874
PDF: https://arxiv.org/pdf/2110.04874
OA Status: green
Related Works: 10
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DOI: https://doi.org/10.48550/arxiv.2110.04874

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Title: Counting square free monomial cremona maps

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Type: preprint

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Language: en

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Publication year: 2021

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Publication date: 2021-10-10

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Authors: Bárbara Regina Lopes Costa, Thiago Magela Rodrigues Dias, Rodrigo Gondim, Ricardo Antônio Francisco Machado

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Landing page: https://arxiv.org/abs/2110.04874

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Concepts: Monomial, Square (algebra), Mathematics, Equivalence (formal languages), Combinatorics, Square-free integer, Discrete mathematics, Geometry

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