On the regularity of varieties having an extremal secant line
Marie-Amélie Bertin
math.AGarXiv:math/0007074
Abstract
The Castelnuovo-Mumford regularity of varieties of degree r and dimension n in the r-dimensional projective space that have an extremal secant line, is at least d-r+n+1. We classify these varieties and show that their regularity is exactly d-r+n+1, as predicted by the regularity conjecture.
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