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Fumiaki Suzuki "Birational rigidity of complete intersections."
Start Date: 2/13/2018Start Time: 4:30 PM
End Date: 2/13/2018End Time: 5:30 PM
Event Description:
Speaker: Fumiaki Suzuk, UIC

Abstract: A Q-Fano variety X is birationally superrigid if any birational map to the source of another Mori fiber space is isomorphism. It implies that X is non-rational and Bir(X) = Aut(X). After the works of several mathematicians, de Fernex proved that every smooth hypersurface of degree N in P^N is birationally superrigid for N at least 4. He also proved birational superrigidity of a large class of singular hypersurfaces of this type. In this talk, we extend the results to complete intersections. As a key step, we generalize Pukhlikov’s multiplicity bounds of cycles in hypersurfaces to complete intersections.
Location Information:
Homewood - Hodson
Room: 315
Mathematics Department
Algebraic Geometry Seminar

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