Yang Li

activity

20172023

most citedSYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family

12 citations · 35 across the 17 of their papers we have counts for

collaborators

Showing 2020 · math.DGShow all

4 papers · 2 filters

math.DG2020

Iterated collapsing phenomenon on $G_{2}$ -manifolds

Yang Li

We propose a new collapsing mechanism for $G_{2}$ -metrics, with the generic region admitting a circle bundle structure over a K3 fibration over a Riemann surface. The adiabatic descr…

math.DG2020

Metric SYZ conjecture and non-archimedean geometry

Yang Li

We show that assuming a conjecture in non-archimedean geometry, then a metric formulation of the SYZ conjecture can be proved in large generality.

math.DG2020

Uniform Skoda integrability and Calabi-Yau degeneration

Yang Li

We study polarised algebraic degenerations of Calabi-Yau manifolds. We prove a uniform Skoda type estimate, and a uniform $L^{\infty}$ -estimate for the Calabi-Yau Kähler potentials.

math.DG2020

Diameter bounds for degenerating Calabi-Yau metrics

Yang Li, Valentino Tosatti

We obtain sharp upper and lower bounds for the diameter of Ricci-flat Kahler metrics on polarized Calabi-Yau degeneration families, as conjectured by Kontsevich-Soibelman.

Iterated collapsing phenomenon on G2​-manifolds

Metric SYZ conjecture and non-archimedean geometry

Uniform Skoda integrability and Calabi-Yau degeneration

Diameter bounds for degenerating Calabi-Yau metrics

Iterated collapsing phenomenon on $G_{2}$ -manifolds