Search Results for author: Wanmin Liu

Found 4 papers, 4 papers with code

Contractibility of space of stability conditions on the projective plane via global dimension function

1 code implementation31 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)

Fourier-Mukai transforms and stable sheaves on Weierstrass elliptic surfaces

1 code implementation6 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)

Classification of full exceptional collections of line bundles on three blow-ups of $\mathbb{P}^{3}$

1 code implementation15 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

Bayer-Macrì decomposition on Bridgeland moduli spaces over surfaces

1 code implementation26 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)

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