1 code implementation • 31 Jan 2020 • Yu-Wei Fan, Chunyi Li, Wanmin Liu, Yu Qiu
We compute the global dimension function $\mathrm{gldim}$ on the principal component $\mathrm{Stab}^{\dag}(\mathbb{P}^2)$ of the space of Bridgeland stability conditions on $\mathbb{P}^2$.
Algebraic Geometry General Topology Representation Theory 2020: 14F08 (18G80, 32Q55)
1 code implementation • 6 Oct 2019 • Wanmin Liu, Jason Lo, Cristian Martinez
On a Weierstra{\ss} elliptic surface $X$, we define a `limit' of Bridgeland stability conditions, denoted as $Z^l$-stability, by moving the polarisation towards the fiber direction in the ample cone while keeping the volume of the polarisation fixed.
Algebraic Geometry 14J27 (Primary) 14J33, 14J60 (Secondary)
1 code implementation • 15 Oct 2018 • Wanmin Liu, Song Yang, Xun Yu
A fullness conjecture of Kuznetsov says that if a smooth projective variety $X$ admits a full exceptional collection of line bundles of length $l$, then any exceptional collection of line bundles of length $l$ is full.
Algebraic Geometry 14F05, 14J45, 18E30
1 code implementation • 26 Jan 2015 • Wanmin Liu
We find a decomposition formula of the local Bayer-Macr\`i map for the nef line bundle theory on the Bridgeland moduli space over surface.
Algebraic Geometry 14D20, (Primary), 18E30, 14E30 (Secondary)