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September 2018 Bayer–Macrì decomposition on Bridgeland moduli spaces over surfaces
Wanmin Liu
Kyoto J. Math. 58(3): 595-621 (September 2018). DOI: 10.1215/21562261-2017-0031

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.

Citation

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Wanmin Liu. "Bayer–Macrì decomposition on Bridgeland moduli spaces over surfaces." Kyoto J. Math. 58 (3) 595 - 621, September 2018. https://doi.org/10.1215/21562261-2017-0031

Information

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

zbMATH: 06959093
MathSciNet: MR3843392
Digital Object Identifier: 10.1215/21562261-2017-0031

Subjects:
Primary: 14D20
Secondary: 14E30, 18E30

Rights: Copyright © 2018 Kyoto University

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Vol.58 • No. 3 • September 2018
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