Rice University Department of Mathematics Colloquium

On rationality properties

4:00 pm Thursday, March 10, 2016
Alena Pirutka (Courant)

Abstract: An algebraic variety is rational if it has an open subset isomorphic to an open of an affine space. However, these varieties are still quite difficult to understand. For instance, it could be very tricky to determine whether a given variety is rational or not. In this talk we will discuss various properties related to the rationality, provide examples where these properties hold and give some ideas on methods used for these questions.

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