Uniform bounds on symbolic powers in regular rings via closure theory

Abstract: The containment problem asks: For a fixed ideal I, which symbolic powers of I are contained in an ordinary power of I? We present a closure-theoretic proof of the theorem which says that for ideals I in regular rings R, there is a uniform containment of symbolic powers of I in ordinary powers of I.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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