Infinitesimal deformations of rational surface automorphisms

Julien Grivaux (1, 2)

1 I2M - Institut de Mathématiques de Marseille
2 IHES - Institut des Hautes Études Scientifiques

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 $(X, f)$.

Mots clés: DYNAMICS; CREMONA GROUP; FAMILIES; SPACES; PLANE; COMPLETENESS; ENTROPY; INERTIA; THEOREM; GROWTH

Domaines: Systèmes dynamiques [math.DS]; Géométrie algébrique [math.AG]

Julien Grivaux. Infinitesimal deformations of rational surface automorphisms. Mathematische Zeitschrift, In press, 288 (3-4), pp.1195-1253. ⟨10.1007/s00209-017-1932-x⟩. ⟨hal-01301454⟩