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- W2963224897 abstract "Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on $${mathbb {C}}^2$$ gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of the extreme edges or the convex hull of said union will do the same. If true, then the latter would provide useful strategies for the bumping of plurisubharmonic polynomials on $${mathbb {C}}^2$$ , but whether they are true has been elusive until now. We construct a plurisubharmonic polynomial P on $${mathbb {C}}^2$$ with precisely two extreme edges $$E_1$$ and $$E_2$$ , such that neither $$E_1cup {E_2}$$ nor $$text {Conv}({E_1cup {}E_2})$$ yields a plurisubharmonic polynomial." @default.
- W2963224897 created "2019-07-30" @default.
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- W2963224897 date "2018-09-19" @default.
- W2963224897 modified "2023-10-18" @default.
- W2963224897 title "On Newton Diagrams of Plurisubharmonic Polynomials" @default.
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- W2963224897 doi "https://doi.org/10.1007/s12220-018-0092-5" @default.
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