4 papers
Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties
Yanbo Fang, Andres Gomez
As a first step towards a refined description of the asymptotic of the Weil-Petersson metric on the moduli space of polarized Calabi-Yau manifolds we investigate the concrete case…
On the non-archimedean Monge-Ampère equation in mixed characteristic
Yanbo Fang, Walter Gubler, Klaus Künnemann
Let X be a smooth projective variety over a complete discretely valued field of mixed characteristic. We solve non-archimedean Monge-Ampère equations on X assuming resolution and…
Metrized ample line bundles in non-Archimedean geometry II
Yanbo Fang
We introduce a class of semipositive metrics on ample line bundles in non-Archimedean geometry, called Shilov finite metrics. We calculate the determinant metric distorsion in the…
Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed
Yan-Long Fang, Jeffrey Galkowski
We study scattering by metamaterials with negative indices of refraction, which are known to support \emph{surface plasmons} -- long-lived states that are highly localized at the b…