Dirichlet fundamental domains and topology of projective varieties

• 成果类型: Article
• 署名作者: Kapovich, Michael
• 署名单位: University of California System; University of California Davis
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0453-4
• 发表日期: 2013
• 页码: 631-672
• 关键词: Matrices; SPACES

摘要

We prove that for every finitely-presented group G there exists a 2-dimensional irreducible complex-projective variety W with the fundamental group G, so that all singularities of W are normal crossings and Whitney umbrellas.