This analysis demonstrates polynomial convexity, applying the Oka-Weil theorem to complex manifolds.
We compare the T-polynomial convexity of Guedj with holomorphic convexity away from the support of T. In particular, we prove an Oka–Weil theorem for T-polynomial convexity. We also show a sufficient condition for when the notions of T-polynomial convexity and holomorphic convexity of X∖SuppT coincide in the class of complex projective algebraic manifolds.
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Blake J. Boudreaux (2025) studied this question.
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