On singular varieties having an extremal secant line
We correct a mistake in an earlier paper and give a complete classification of singular varieties having an extremal secant line.
math.AG↗
arXiv subjects
Marie-Amélie Bertin
Publications and source records attributed to Marie-Amélie Bertin.
Exemples de surfaces canoniques de ${\mathbb P}^6$ et de solides de Calabi-Yau de ${\mathbb P}^7$
Using the global Gulliksen-Negård complex, we build in this note regular canonical surfaces of general type in ${\mathbb P}^6$, Calabi-Yau 3-folds in ${\mathbb P}^7$ and Fano anticanonical 4-folds, all of degree 17 and 20. We also give their Hodge number and syzygies.
math.AG↗
On the regularity of varieties having an extremal secant line
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.
math.AG↗