For more information about this meeting, contact Calder Daenzer, Ping Xu, Mari Royer, Nigel Higson, Mathieu Stienon.
| Title: | On subadditivity of Kodaira dimension in positive characteristic |
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| Seminar: | GAP Seminar |
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| Speaker: | Zsolt Patakfalvi, Princeton University |
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| Abstract: |
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| Kodaira dimension is a fundamental (if not the most fundamental) birational
invariant of algebraic varieties. It assigns a number between 0 and the dimension or
negative infinity to every birational equivalence class of varieties. The bigger this number
is the more the variety is thought of as being "hyperbolic". Subadditivity of Kodaira
dimension is a conjecture of Iitaka stating that for an algebraic fiber space f : X -> Y,
the Kodaira dimension of the total space is at least as big as the sum of the Kodaira
dimensions of the generic fiber and the base. I will present a positive answer to the above
conjecture over a field of positive characterisitc, when Y is of general type, f is
separable and the Hasse-Witt matrix of the generic fiber is not nilpotent. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 09 / 03 / 2013 |
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| Time: | 02:30pm - 03:30pm |
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