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Web page: Alexandru I. Suciu | Created: March 26, 2000 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/sottile.html |
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| Unobstructed deformations in characteristic p>0 |
| Abstract: A Theorem of Tian, Bogomolov, Ran, and
Kawamata says that complex Calabi-Yau manifolds have unobstructed deformations.
A counterexample of Hirokado shows that, in this form, the Theorem does
not hold in characteristic p>0.
I shall explain why Kawamata's proof fails in characteristic p>0. Then I discuss how to use divided power structures and suitable assumptions on crystalline cohomology to get the result in characteristic p>0. |
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Web page: Alexandru I. Suciu | Created: March 26, 2000 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/sottile.html |