The ∂-equation on Homogeneous Varieties with an Isolated Singularity
نویسنده
چکیده
Let X be a regular irreducible variety in CP, Y the associated homogeneous variety in C, and N the restriction of the universal bundle of CP to X . In the present paper, we compute the obstructions to solving the ∂-equation in the L-sense on Y for 1 ≤ p ≤ ∞ in terms of cohomology groups H(X,O(N)). That allows to identify obstructions explicitly if X is specified more precisely, for example if it is equivalent to CP or an elliptic curve.
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