2 citations · 9 across the 10 of their papers we have counts for
10 papers · 1 filter
Three chapters on Cremona groups
Serge Cantat, Julie Déserti, Junyi Xie
In the first part of this article, we answer a question of I. Dolgachev, which is related to the following problem: given a birational map $f\in\mathrm{Bir}(\mathbb{P}^m_\mathbf{k}…
The Cremona group and its subgroups
Julie Déserti
This survey deals with the Cremona group via its subgroups.
Cremona maps and involutions
Julie Déserti
We deal with the following question of Dolgachev : is the Cremona group generated by involutions ? Answer is yes in dimension (Cerveau-Deserti). We give an upper bound of the m…
Birational maps preserving the contact structure on
Dominique Cerveau, Julie Déserti
We study the group of polynomial automorphisms of (resp. birational self-maps of ) that preserve the contact structure.
Quarto-quartic birational maps of
Julie Déserti, Frédéric Han
We construct a determinantal family of quarto-quartic transformations of a complex projective space of dimension from trigonal curves of degree and genus . Moreover we s…
On solvable subgroups of the Cremona group
Julie Déserti
The Cremona group is the group of birational self-maps of . Using the action of $\mathrm{Bir}(\mathbb{P}^2_\mathbb{…
On cubic birational maps of
Julie Déserti, Frédéric Han
We study the birational maps of . More precisely we describe the irreducible components of the set of birational maps of bidegree (resp. , r…
Degree growth of birational maps of the plane
Jérémy Blanc, Julie Déserti
This article studies the sequence of iterative degrees of a birational map of the plane. This sequence is known either to be bounded or to have a linear, quadratic or exponential g…
Some properties of the Cremona group
Julie Déserti
We recall some properties, unfortunately not all, of the Cremona group. We first begin by presenting a nice proof of the amalgamated product structure of the well-known subgroup of…
Automorphismes d'entropie positive, le cas des surfaces rationnelles
Julie Déserti
A complex compact surface which carries an automorphism of positive topological entropy has been proved by Cantat to be a torus, a K3 surface, an Enriques surface or a non-minimal…