On the symplectic invariance of log Kodaira dimension

Friday, October 19, 2012 -
4:30pm to 5:30pm
Every smooth affine variety has a natural symplectic structure coming from some embedding in complex Euclidean space. This symplectic form is a biholomorphic invariant. An important algebraic invariant of smooth affine varieties is log Kodaira dimension. One can ask, to what extent is this a symplectic invariant? We show some partial symplectic invariance results for smooth affine varieties of dimension less than or equal to 3.
Mark McLean
Event Location: 
Fine Hall 322