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Hodge-index type inequalities, hyperbolic polynomials and complex Hessian equations. (arXiv:1810.04662v1 [math.AG])
来源于:arXiv
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 G{\aa}rding'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. 查看全文>>
