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arXiv · 1610.09584

Positivity in convergence of the inverse $\sigma_{n-1}$-flow

Jian Xiao
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Abstract

We study positivity in the conjecture proposed by Lejmi and Sz\'{e}kelyhidi on finding effective necessary and sufficient conditions for solvability of the inverse $\sigma_k$ equation, or equivalently, for convergence of the inverse $\sigma_k$-flow. In particular, for the inverse $\sigma_{n-1}$-flow we partially verify their conjecture by obtaining the desired positivity for $(n-1, n-1)$ cohomology classes. As an application, we also partially verify their conjecture for 3-folds.

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Jian Xiao. 2016-10-29. Positivity in convergence of the inverse $\sigma_{n-1}$-flow. https://arxiv.org/abs/1610.09584

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