Unstable products of smooth curves

• 成果类型: Article
• 署名作者: Ross, J.
• 署名单位: Columbia University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-005-0490-8
• 发表日期: 2006
• 页码: 153-162
• 关键词: SCALAR CURVATURE; METRICS

摘要

We give examples of smooth manifolds with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kahler classes that do not admit any constant scalar curvature Kahler metrics. These manifolds also have unstable Hilbert and Chow points. We compare this to the work of Song-Weinkove on the J-flow.