Free curves on varieties

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• Frank Gounelas (Humboldt University of Berlin)
• Monday 23 February 2015, 15:00-16:00
• CMS MR5.

If you have a question about this talk, please contact Dr. J Ross.

In this talk I will discuss what happens when one assumes the existence of a free curve of any genus on a smooth projective variety. These are curves which deform to cover the variety, while keeping a number of points fixed. In characteristic zero one proves that if the genus is at least one, then the number of points fixed doesn’t play a role (in contract to the genus zero case) and that such varieties are rationally connected, although the situation is more complicated in positive characteristic.

This talk is part of the Algebraic Geometry Seminar series.

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