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SUPERFICIAL FIBRES OF GENERIC PROJECTIONS
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https://doi.org/10.1017/s1474748016000050Abstract
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.
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