Infinitesimal deformations of rational surface automorphisms

Abstract

If $X$ is a rational surface without nonzero holomorphic vector field and $f$ is an automorphism of $X$, we study in several examples the Zariski tangent space of the local deformation space of the pair $(X,f)$.

Final version

References in corpus (4)

• On the inertia group of elliptic curves in the Cremona group of the plane
• Dynamical degrees of (pseudo)-automorphisms fixing cubic hypersurfaces
• Embeddings of SL(2,Z) into the Cremona group
• Degree of the First Integral of a Foliation in the Pencil ${\mathcal{P}}_4$

Cited by in corpus (1)

• Elements generating a proper normal subgroup of the Cremona group