Kyoto Journal of Mathematics

Bayer–Macrì decomposition on Bridgeland moduli spaces over surfaces

Wanmin Liu

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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
Received: 1 November 2016
Revised: 29 November 2016
Accepted: 29 November 2016
First available in Project Euclid: 20 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1529481669

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

Mathematical Reviews number (MathSciNet)
MR3843392

Zentralblatt MATH identifier
06959093

Subjects
Primary: 14D20: Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Secondary: 18E30: Derived categories, triangulated categories 14E30: Minimal model program (Mori theory, extremal rays)

Keywords
Bayer–Macrì map Bridgeland stability condition minimal model program moduli space of complexes wall crossing

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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