30 citations · 72 across the 7 of their papers we have counts for
7 papers · 1 filter
Automorphisms of A1-fibered surfaces
Jérémy Blanc, Adrien Dubouloz
We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions betwee…
On Birational Transformations of Pairs in the Complex Plane
Jérémy Blanc, Ivan Pan, Thierry Vust
This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the sta…
On the inertia group of elliptic curves in the Cremona group of the plane
Jérémy Blanc
We study the group of birational transformations of the plane that fix (each point of) a curve of geometric genus 1. A precise description of the finite elements is given; it is sh…
Sur un théorème de Castelnuovo
Jéremy Blanc, Ivan Pan, Thierry Vust
English: We continue the study of G. Castelnuovo on the group of birational transformation of the complex plane that fix each point of a curve of genus >1; we use adjoint linear sy…
The number of conjugacy classes of elements of the Cremona group of some given finite order
Jérémy Blanc
This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conj…
Finite abelian subgroups of the Cremona group of the plane
Jérémy Blanc
This work presents the conjugacy classes of finite abelian subgroups of the Cremona group of the plane. Using a well-known theory, this problem amounts to the study of automorphism…