Hilbert Series of Residual Intersections
Commutative Algebra
2015-09-30 v1 Algebraic Geometry
Abstract
We find explicit formulas for the Hilbert series of residual intersections of a scheme in terms of the Hilbert series of its conormal modules. In a previous paper we proved that such formulas should exist. We give applications to the dimension of secant varieties of surfaces and three-folds.
Cite
@article{arxiv.1304.0044,
title = {Hilbert Series of Residual Intersections},
author = {Marc Chardin and David Eisenbud and Bernd Ulrich},
journal= {arXiv preprint arXiv:1304.0044},
year = {2015}
}