# 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 $(X, f)$.
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https://hal.archives-ouvertes.fr/hal-01301454
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Submitted on : Monday, November 18, 2019 - 11:03:02 PM
Last modification on : Thursday, January 23, 2020 - 6:22:13 PM

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### Citation

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

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