Abstract
Let X be a regular irreducible variety in CP n 1 , Y the associated homogeneous variety in C n , and N the restriction of the universal bundle of CP n 1 to X. In the present paper, we compute the obstructions to solving the @-equation in the L p -sense on Y for 1 p1 in terms of cohomology groups H q (X;O(N )). That allows to identify obstructions explicitly if X is specied more precisely, for example if it is equivalent to CP 1 or an elliptic curve.
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