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Symbolic Powers I

Commutative Algebra and its Interaction with Algebraic Geometry (Notre Dame) May 22, 2023 - June 02, 2023

May 31, 2023 (11:30 AM PDT - 12:30 PM PDT)
Speaker(s): Alexandra Seceleanu (University of Nebraska)

Symbolic Powers I


This talk aims to introduce symbolic powers of ideals focusing on geometric reasons for studying them. The classical Zariski-Nagata theorem characterizing symbolic powers as higher order vanishing ideals, interpolation problems, and some examples illustrating the subtlety of the containment problem between the symbolic and ordinary powers of an ideal will be discussed.

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Symbolic Powers I

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