English

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

Algebraic Geometry 2017-06-19 v2

Abstract

We construct a determinantal family of quarto-quartic transformations of a complex projective space of dimension 33 from trigonal curves of degree 88 and genus 55. Moreover we show that the variety of (4,4)(4,4)-birational maps of P3(C)\mathbb{P}_3(\mathbb{C}) has at least four irreducible components and describe three of them.

Cite

@article{arxiv.1512.04400,
  title  = {Quarto-quartic birational maps of $\mathbb{P}_3(\mathbb{C})$},
  author = {Julie Déserti and Frédéric Han},
  journal= {arXiv preprint arXiv:1512.04400},
  year   = {2017}
}
R2 v1 2026-06-22T12:09:16.922Z