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| Fumiaki Suzuki "Birational rigidity of complete intersections." |
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| Start Date: | 2/13/2018 | Start Time: | 4:30 PM |
| End Date: | 2/13/2018 | End Time: | 5:30 PM |
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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
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Remarks:
Mathematics Department
Algebraic Geometry Seminar |
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