Positivity in convergence of the inverse σ_n-1-flow

2016/10/29 by Jian Xiao, Xiao, Jian · 1 citation
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1610.09584

Abstract

We study positivity in the conjecture proposed by Lejmi and Sz 'ekelyhidi\non finding effective necessary and sufficient conditions for solvability of the\ninverse \σ_k equation, or equivalently, for convergence of the inverse\n\σ_k-flow. In particular, for the inverse \σ_n-1-flow we\npartially verify their conjecture by obtaining the desired positivity for\n(n-1, n-1) cohomology classes. As an application, we also partially verify\ntheir conjecture for 3-folds.\n

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