The nilpotence conjecture in K-theory of toric varieties

• 成果类型: Article
• 署名作者: Gubeladze, J
• 署名单位: California State University System; San Francisco State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-004-0410-3
• 发表日期: 2005
• 页码: 173-216
• 关键词: projective-modules; polynomial-rings; ALGEBRAS

摘要

It is shown that all nontrivial elements in higher K-groups of toric varieties are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.