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On Curves and Surfaces with Projectively Equivalent Hyperplane Sections

Published online by Cambridge University Press:  20 November 2018

S. L'Vovsky*
Affiliation:
Profsoyuznaya ul, 20/9, kv.162. Russia, 117292 Moscow e-mail:, nskcsmoscow@glas.apc.org
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Abstract

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In this paper we describe projective curves and surfaces such that almost all their hyperplane sections are projectively equivalent. Our description is complete for curves and close to being complete for smooth surfaces. In the appendix we make some remarks on connections between the mentioned property of a projective variety and its adjunction properties.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1994