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arXiv · 1304.0044

Hilbert Series of Residual Intersections

Marc Chardin·David Eisenbud·Bernd Ulrich
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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.

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Marc Chardin, David Eisenbud, Bernd Ulrich. 2013-03-29. Hilbert Series of Residual Intersections. https://doi.org/10.1112/s0010437x15007289

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