Jumping of the nef cone for Fano varieties

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• Burt Totaro (Cambridge)
• Wednesday 28 October 2009, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Caucher Birkar.

We consider what properties of Fano varieties remain unchanged under nearby deformations of the variety. For mildly singular Fano varieties, de Fernex and Hacon showed that the nef cone (or, dually, the cone of curves) remains unchanged under deformations when the variety has dimension at most 3. We show that the nef cone can jump in dimension 4.

This talk is part of the Algebraic Geometry Seminar series.

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