9 citations · 11 across the 7 of their papers we have counts for
7 papers
A remark on the full support property
Yiran Cheng
We show that a mass-Hom bound for a numerical pre-stability condition on a projective scheme over a field implies the support property with respect to the full numerical Grothendie…
A note on stability conditions on projective spaces
Yiran Cheng
We give a new proof of Li's theorem on the existence of geometric Bridgeland stability conditions on the bounded derived category of coherent sheaves on projective spaces. These st…
Stability conditions on threefolds
Yiran Cheng, Soheyla Feyzbakhsh
We investigate a subspace of Bridgeland stability conditions on $\PP^n$ satisfying the so-called Li condition. These are the stability conditions whose restriction to a smooth proj…
Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties
Yiran Cheng
We construct Bridgeland stability conditions on the the following hyper-Kähler or strict Calabi--Yau manifolds: - Generalized Kummer varieties associated to an abelian surface that…
Mukai's program for non-primitive curves on K3 surfaces
Yiran Cheng, Zhiyuan Li, Haoyu Wu
Mukai's program seeks to recover a K3 surface from any curve on it by exhibiting it as a Fourier-Mukai partner to a Brill-Noether locus of vector bundles on the curve. In t…
Hyperplane Sections of Hypersurfaces
Yiran Cheng
We compute some numerical invariants of the lines on hyperplane sections of a smooth cubic threefold over complex numbers. We also prove that for any smooth hypersurface $X\subset…
Drawing cone spherical metrics via Strebel differentials
Jijian Song, Yiran Cheng, Bo Li +1
Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a br…