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Pré-Publication, Document De Travail Année : 2022

Degenerate J-flow on compact K\"ahler manifolds

Résumé

In this note, we study a degenerate twisted J-flow on compact K\"ahler manifolds. We show that it exists for all time, it is unique and converges to a weak solution of a degenerate twisted J-equation. In particular, this confirms an expectation formulated by Song-Weinkove for the J-flow. As a consequence, we establish the properness of the Mabuchi K-energy twisted by a certain semi-positive closed (1,1)-form for K\"ahler classes in a certain subcone.

Dates et versions

hal-03868774 , version 1 (23-11-2022)

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Tat Dat Tô. Degenerate J-flow on compact K\"ahler manifolds. 2022. ⟨hal-03868774⟩
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