On the regularity of varieties having an extremal secant line

Details On the regularity of varieties having an extremal secant line On the regularity of varieties having an extremal secant line

2000-07-12

arxiv.org/abs/math/0007074v1

Mathematics

Algebraic Geometry

12 pages, part of it contains results from my Ph.D. thesis (Columbia University NY)

Scientific paper

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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