Automorphism and Cohomology II: Complete intersections

Abstract

We prove that the automorphism group of a general complete intersection $X$ in a projective space is trivial with a few well-understood exceptions. We also prove that the automorphism group of a complete intersection $X$ acts on the cohomology of $X$ faithfully with a few well-understood exceptions.

final version, 25 pages

References in corpus (2)

• Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses
• Automorphism and Cohomology I: Fano variety of lines and Cubic

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