A survey of Harbourne’s Conjecture

Abstract: Harbourne’s conjecture on the containment problem for symbolic and ordinary powers of ideals is not true in its original form, but it has sparked a lot of different research avenues. We will discuss some of the known counterexamples but mostly focus on the different variations of the conjecture that are true or still open.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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