On curves and surfaces with projectively equivalent hyperplane sections

Mathematics – Algebraic Geometry

Scientific paper

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7 pages, Plain TeX Version 3.141

Scientific paper

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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