• Corpus ID: 238253363

On the automorphisms of hyperplane sections of generalized Grassmannians

@inproceedings{Benedetti2021OnTA,
  title={On the automorphisms of hyperplane sections of generalized Grassmannians},
  author={Vladimiro Benedetti and Laurent Manivel},
  year={2021}
}
Given a smooth hyperplane section H of a rational homogeneous space G/P with Picard number one, we address the question whether it is always possible to lift an automorphism of H to the Lie group G, or more precisely to Aut(G/P ). Using linear spaces and quadrics in H, we show that the answer is positive up to a few well understood exceptions related to Jordan algebras. When G/P is an adjoint variety, we show how to describe Aut(H) completely, extending results obtained by Prokhorov and… 

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