Hilbert Series of Residual Intersections
classification
🧮 math.AC
math.AG
keywords
hilbertseriesformulasintersectionsresidualapplicationsconormaldimension
read the original 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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