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

We study positivity in the conjecture proposed by Lejmi and Székelyhidi on finding effective necessary and sufficient conditions for solvability of the inverse $σ_k$ equation, or equivalently, for convergence of the inverse $σ_k$-flow. In particular, for the inverse $σ_{n-1}$-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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