We prove LeBrun–Salamon conjecture in the following situation: if X is a contact Fano manifold of dimension 2 n+ 1 whose group of automorphisms is reductive of rank ≥ max (2 , (n- 3) / 2) then X is the adjoint variety of a simple group. The rank assumption is fulfilled not only by the three series of classical linear groups but also by almost all the exceptional ones.
High rank torus actions on contact manifolds / Occhetta, G.; Romano, E. A.; Solá Conde, E. L.; Wisniewski, J. A.. - In: SELECTA MATHEMATICA. NEW SERIES. - ISSN 1420-9020. - 27:1(2021). [10.1007/s00029-021-00621-w]
High rank torus actions on contact manifolds
Occhetta G.;Romano E. A.;Solá Conde E. L.;Wisniewski J. A.
2021-01-01
Abstract
We prove LeBrun–Salamon conjecture in the following situation: if X is a contact Fano manifold of dimension 2 n+ 1 whose group of automorphisms is reductive of rank ≥ max (2 , (n- 3) / 2) then X is the adjoint variety of a simple group. The rank assumption is fulfilled not only by the three series of classical linear groups but also by almost all the exceptional ones.File in questo prodotto:
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