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A variety that cannot be dominated by one that lifts

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Friday, October 26, 2018
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3:15 pm - 4:15 pm
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Remy van Dobben de Bruyn (Institute for Advanced Study)
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Algebraic Geometry Seminar

In the sixties, Serre constructed a smooth projective variety in characteristic p that cannot be lifted to characteristic 0. If a variety does not lift, a natural question is whether some variety related to it does. We construct a smooth projective variety that cannot be rationally dominated by a smooth projective variety that lifts.