Seminar Algebra and Geometry: Urban Jezernik (University of the Basque Country)

Irrationality of quotient varieties

The rationality problem in algebraic geometry asks whether a given variety is birational to a projective space. We will gently introduce the problem and take a look at some recent advances, principally in the direction of negative examples constructed via cohomological obstructions. Special focus will be set on quotient varieties by linear group actions.

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