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arXiv · 1512.04400

Quarto-quartic birational maps of $\mathbb{P}_3(\mathbb{C})$

Julie Déserti·Frédéric Han
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Abstract

We construct a determinantal family of quarto-quartic transformations of a complex projective space of dimension $3$ from trigonal curves of degree $8$ and genus $5$. Moreover we show that the variety of $(4,4)$-birational maps of $\mathbb{P}_3(\mathbb{C})$ has at least four irreducible components and describe three of them.

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Julie Déserti, Frédéric Han. 2015-12-14. Quarto-quartic birational maps of $\mathbb{P}_3(\mathbb{C})$. https://arxiv.org/abs/1512.04400

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