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math.DG2020
On almost quasi-negative holomorphic sectional curvature
Yashan Zhang, Tao Zheng
A recent celebrated theorem of Diverio-Trapani and Wu-Yau states that a compact Kähler manifold admitting a Kähler metric of quasi-negative holomorphic sectional curvature has an a…
cs.SC2020
Characterizing Triviality of the Exponent Lattice of A Polynomial through Galois and Galois-Like Groups
Tao Zheng
The problem of computing \emph{the exponent lattice} which consists of all the multiplicative relations between the roots of a univariate polynomial has drawn much attention in the…
math.DG2020
The Continuity Equation of the Gauduchon Metrics
Tao Zheng
We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kähler metrics introduced by…