BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Residual Intersections: Socles and Duality Ulrich, Bernd


A well-known formula expresses the socle of an Artinian complete intersection of characteristic zero in terms of a Jacobian determinant. We generalize this formula to rings that are neither Artinian nor complete intersections. We deduce our formula from an explicit description of the Dedekind complementary module of residual intersections. This is a report on joint work with David Eisenbud.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International