Hilbert series of residual intersections
- 9 June 2015
- journal article
- Published by Wiley in Compositio Mathematica
- Vol. 151 (9) , 1663-1687
- https://doi.org/10.1112/s0010437x15007289
Abstract
We give 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 number of equations defining projective varieties and to the dimension of secant varieties of surfaces and three-folds.Keywords
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