Abstract
We prove an unobstructedness result for deformations of subvarieties constrained by intersections with another fixed subvariety. We deduce smoothness and expected-dimension results for multiple-point loci of generic projections, mainly from a point or a line, or for fibers of embedding dimension or less.
Citation
Ziv Ran. "Unobstructedness of filling secants and the Gruson–Peskine general projection theorem." Duke Math. J. 164 (4) 697 - 722, 15 March 2015. https://doi.org/10.1215/00127094-2881483
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