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Algebraic Geometry Seminar

Resolution of Singularities in Arbitrary Characteristics
Wednesday, October 5, 2022
4:00-5:30 PM
4096 East Hall Map
Mnev's universality theorem asserts that every singularity type over the ring of integers appears in some thin Schubert cell of the Grassmannian Gr(3,E) for some vector space E. We construct certain sequential blowups of Gr(3,E) such that certain induced birational transforms of all thin Schubert cells become smooth over prime fields. This implies that every integral affine or projective singular variety X defined over a prime field admits a resolution. For an affine or projective singular variety X over a general perfect field k, we spread it out and deduce that X/k admits a resolution as well. Speaker(s): Yi Hu (University of Arizona)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics