On the symplectic invariance of log Kodaira dimension

On the symplectic invariance of log Kodaira dimension

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Mark McLean, IAS
Fine Hall 322

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.