Refined conjecture on pluripolar hulls and finely analytic extensions
Refined conjecture on pluripolar hulls and finely analytic extensions
Let be an analytic function, and consider its graph and pluripolar hull. A finely analytic extension of may be possibly multi-valued; its maximal such extension is understood in the refined sense described in the source. The refined pluripolar-hull conjecture. The pluripolar hull of the graph of consists of the graph of the possibly multi-valued maximal finely analytic extension of . This refinement was motivated by counterexamples to the preceding conjecture in which the hull extends beyond the domain of the maximal Weierstrass extension and may consist of many sheets. The supplied text does not state whether this refined conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Jan Wiegerinck, “Pluripolar Hulls and Fine Holomorphy”, arXiv:2207.08172 (2022).
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