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Lower bound of modified $K$-energy on a Fano manifold with degeneration for Kähler-Ricci solitons

Published 3 Dec 2021 in math.DG | (2112.02001v1)

Abstract: In this paper, we extend Tosatti's method to study the lower boundedness of modified $K$-energy on a Fano manifold and apply this result to study the relative $K$-stability of the deformation space of a K\"ahler Ricci soliton.

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