Hilbert Series of Residual Intersections

Preprint

30 March 2013

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1304.0044

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.

Keywords

RESIDUAL INTERSECTIONS
SERIES OF RESIDUAL
GIVE APPLICATIONS
EXPLICIT FORMULAS
CONORMAL MODULES
HILBERT SERIES
FIND EXPLICIT
FORMULAS

All Related Versions

Version 1, 2013-03-30, ArXiv
Published version: Compositio Mathematica, 151 (9), 1663.

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