Residual intersections

Thời gian: 14:00 đến 15:00 Ngày 17/03/2016

Địa điểm: B4-705

Báo cáo viên: M. Chardin

Tóm tắt:

Artin and Nagata introduced residual intersections, a notion that generalizes the notion of liaison (or linkage) to include cases were the two pieces are of different dimensions. A first important result was proved by Craig Huneke, who showed that, under an hypothesis on the local number of generators, residual intersections of strongly Cohen-Macaulay ideals are Cohen-Macaulay. This result was extended in several ways and completed  by, for instance, the description of the canonical module of the residual. In this lecture, I will present this notion, some of the main ideas of proofs by Huneke and Ulrich, and steps that leaded to recent work of Hassanzadeh, Naeliton, Tran Quang Hoa and myself. These recent results now gives a pretty complete answer to most of the natural questions that were left open.