Free curves on varieties
|
Tue, 05/06/2012 15:45 |
Frank Gounelas (Oxford) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| This talk will be about various ways in which a variety can be "connected by higher genus curves", mimicking the notion of rational connectedness. At least in characteristic zero, the existence of a curve with a large deformation space of morphisms to a variety implies that the variety is in fact rationally connected. Time permitting I will discuss attempts to show this result in positive characteristic. | |||