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Presented By: Student Commutative Algebra Seminar - Department of Mathematics

Student CA Seminar: Introduction to liaison theory

Anna Brosowsky

Roughly speaking, two projective varieties of the same dimension are geometrically linked if they have no components in common and their union is a complete intersection. On the algebraic side, ideals I and J are linked if we can find a regular sequence x_1, ..., x_n with J = (x_1, ..., x_n) : I and I = (x_1, ..., x_n) : J. We will take a look at what properties are (and are not) preserved by linkage, as well as looking at a commonly-studied equivalence class of linked ideals.

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