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A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
stratification moduli spaces symplectic orthogonal bundles curve Algebraic Geometry
2012/4/23
A symplectic or orthogonal bundle $V$ of rank $2n$ over a curve has an invariant $t(V)$ which measures the maximal degree of its isotropic subbundles of rank $n$. This invariant $t$ defines stratifica...
Abstract: Let X be a Hyperk\"{a}hler variety deformation equivalent to the Hilbert square of points on a K3 surface and let f be an involution preserving the symplectic form. We prove that the fixed l...
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...