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Characterizations of projective hulls by analytic discs. (English) Zbl 1311.32013

Summary: The notion of the projective hull of a compact set in a complex projective space \(\mathbb{P}^{n}\) was introduced by Harvey and Lawson in 2006. In this paper, we describe the projective hull by Poletsky sequences of analytic discs, in analogy to the known descriptions of the holomorphic and the plurisubharmonic hull.

MSC:

32U05 Plurisubharmonic functions and generalizations
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
32E10 Stein spaces
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