7 problems

Tian's conjecture. Nonnegativity of the real part of the Futaki invariant for every special degeneration of $X$, with equality only for trivial degenerations, is sufficient for the…

Let $X$) be the minimal ruled surface considered in the paper, with distinguished sections $S_0$ and $S_\infty$, and let $\omega$ be a conical higher cscK metric on $X$ with cone a…

Let $\mathcal{X}$ be a toric Calabi–Yau $3$-fold with no factors of $\mathbb{C}$, let $\zeta_R$ be the Reeb symmetry, and let $\eta_h$ be the test symmetry associated with a genera…

Let $\mathcal{X}$ be a toric Calabi–Yau $3$-fold with no factors of $\mathbb{C}$, let $\zeta_R$ be the Reeb symmetry, and let $\eta_h$ be the test symmetry associated with a genera…

Let $\mathcal{X}$ be a toric Calabi–Yau $3$-fold with no factors of $\mathbb{C}$, let $\zeta_R$ be the Reeb symmetry, let $\zeta_p$ be the grading symmetry from GLSM-field degrees,…

Ono's linear-hull conjecture. The two linear hulls coincide:

A compact complex manifold is a complex manifold that is compact, and a constant scalar curvature Kähler (cscK) metric is a Kähler metric whose scalar curvature is constant. The cs…