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- W2966734341 abstract "Abstract It is noted that using complex Hessian equations and the concavity inequalities for elementary symmetric polynomials implies a generalized form of Hodge index inequality. Inspired by this result, using Gårding’s theory for hyperbolic polynomials, we obtain a mixed Hodge-index type theorem for classes of type $(1,1)$. The new feature is that this Hodge-index type theorem holds with respect to mixed polarizations in which some satisfy particular positivity condition but could be degenerate and even negative along some directions." @default.
- W2966734341 created "2019-08-13" @default.
- W2966734341 creator A5056331639 @default.
- W2966734341 date "2019-08-02" @default.
- W2966734341 modified "2023-09-23" @default.
- W2966734341 title "Hodge-Index Type Inequalities, Hyperbolic Polynomials, and Complex Hessian Equations" @default.
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- W2966734341 doi "https://doi.org/10.1093/imrn/rnz159" @default.
- W2966734341 hasPublicationYear "2019" @default.
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