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multisecant planes

Journal of the Institute of Mathematics of Jussieu (1)

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SUPERFICIAL FIBRES OF GENERIC PROJECTIONS
Part of
- Projective and enumerative geometry
Ziv Ran
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 17 / Issue 2 / April 2018

Published online by Cambridge University Press:

08 March 2016, pp. 419-424

Print publication:

April 2018
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We consider a general fibre of given length in a generic projection of a variety. Under the assumption that the fibre is of local embedding dimension 2 or less, an assumption which can be checked in many cases, we prove that the fibre is reduced and its image on the projected variety is an ordinary multiple point.