4 papers · 1 filter
On the Non-Semipositivity of a Nef and Big Line Bundle on Grauert's Example
Yangyang Zhang
We study the relation between semipositivity, nefness, and bigness of line bundles on compact Kähler manifolds. Every nef and big line bundle on a compact Kähler manifold is po…
Symmetry notions for toric Fanos
Chenzi Jin, Yanir A. Rubinstein, Yang Zhang
We survey various notions of symmetry for toric varieties. These notions range from algebraic geometric, complex geometric, representation theoretic, combinatorial, convex geometri…
Time Separation and Scattering Rigidity for Analytic Lorentzian Manifolds
Yuchao Yi, Yang Zhang
In this work, we prove the following three rigidity results: (i) in a real-analytic globally hyperbolic spacetime without boundary, the time separation function restricted…
The Dirichlet-to-Neumann map for Lorentzian Calderón problems with data on disjoint sets
Yuchao Yi, Yang Zhang
We consider the restricted Dirichlet-to-Neumann map for the wave equation with magnetic potential and scalar potential , on an admissible Lorentzian manifo…