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Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2020
November 25, 2020 15:00–15:15, Moscow, online
 


A local holomorphic version of the fundamental theorem of projective geometry

N. G. Kruzhilin
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Abstract: The classical result in affine and projective geometry on maps taking straight lines to straight lines is generalized to locally defined holomorphic maps taking complex lines in a certain family to complex lines. This is used to investigate CR-maps of Levi-degenerate real CR-hypersurfaces in a complex space. Namely, the CR-maps between tube hypersurfaces in $\mathbb C^3$ whose Levi form has eigenvalue zero are fully characterized.

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