Commutative Algebra Seminar - Lorenzo Guerrieri

April 15, 2019
Monday, April 15, 2019 - 4:00pm to 5:00pm
Cockins Hall 240
Commutative Algebra Seminar

Title: GCD property for Shannon extensions

Speaker: Lorenzo Guerrieri (University of Catania)

Abstract: Let $R$ be a regular local ring of dimension $d >1$.  Recently, several authors studied the rings obtained as infinite directed union of iterated local quadratic transforms of $R$, and call them quadratic Shannon extensions.

Here we study features of directed union of local monoidal transforms of a regular local ring (monoidal Shannon extensions) and more in general of directed unions of GCD domains. In particular we are interested in understand when they still are GCD domains.

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