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math.DG2021
Lower bound of modified -energy on a Fano manifold with degeneration for Kähler-Ricci solitons
Liang Zhang
In this paper, we extend Tosatti's method to study the lower boundedness of modified -energy on a Fano manifold and apply this result to study the relative -stability of the…
math.DG2021
Kähler-Ricci flow for deformed complex structures
Gang Tian, Liang Zhang, Xiaohua Zhu
Let be a Fano manifold which admits a Kähler-Ricci soliton, we analyze the behavior of the Kähler-Ricci flow near this soliton as we deform the complex structure . F…