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Steklov Mathematical Institute Seminar
April 15, 2021 16:00, Moscow, Steklov Mathematical Institute of RAS, Room 104 (8 Gubkina) + online
 


A local version of the fundamental theorem of projective geometry and its applications to several complex variables

N. G. Kruzhilin
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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 with directions in a certain set to complex lines. Applications of such results to CR-maps of real surfaces in complex space, namely tube hypersurfaces and real quadrics, are discussed.
 
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