2 problems

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Zhang's uniform lower-bound conjecture for the Kähler-Ricci potential
Let $X$ be a compact Kähler manifold, let $\varphi(t)$ solve the parabolic complex Monge–Ampère equation associated with the Kähler-Ricci flow, and suppose the solution exists on…
Conjectureopencomplex-mon-ge-ampere kahler-ricci-flowarXiv posted 2 days ago
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Tian's convergence conjecture for the continuity method
Let $M$ be a compact Kähler manifold with $c_1(M)>0$ , and let $\omega_t$ solve … with $\omega+\sqrt{-1}\partial\bar\partial\varphi>0$ . Suppose that $M$ admits no Kähler–Einstein me…
Conjectureopencomplex-mon-ge-ampere kaehler-geometry kahler-ricci-solitonsarXiv posted 2 days ago

Zhang's uniform lower-bound conjecture for the Kähler-Ricci potential