## Kyoto Journal of Mathematics

### Bayer–Macrì decomposition on Bridgeland moduli spaces over surfaces

Wanmin Liu

#### Abstract

We find a decomposition formula of the local Bayer–Macrì map for the nef line bundle theory on the Bridgeland moduli space over a surface. If there is a global Bayer–Macrì map, then such a decomposition gives a precise correspondence from Bridgeland walls to Mori walls. As an application, we compute the nef cone of the Hilbert scheme $S^{[n]}$ of $n$-points over special kinds of a fibered surface $S$ of Picard rank $2$.

#### Article information

Source
Kyoto J. Math., Volume 58, Number 3 (2018), 595-621.

Dates
Revised: 29 November 2016
Accepted: 29 November 2016
First available in Project Euclid: 20 June 2018

https://projecteuclid.org/euclid.kjm/1529481669

Digital Object Identifier
doi:10.1215/21562261-2017-0031

Mathematical Reviews number (MathSciNet)
MR3843392

Zentralblatt MATH identifier
06959093

#### Citation

Liu, Wanmin. Bayer–Macrì decomposition on Bridgeland moduli spaces over surfaces. Kyoto J. Math. 58 (2018), no. 3, 595--621. doi:10.1215/21562261-2017-0031. https://projecteuclid.org/euclid.kjm/1529481669

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