Integral Grothendieck-Riemann-Roch theorem

• 成果类型: Article
• 署名作者: Pappas, Georgios
• 署名单位: Michigan State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0067-9
• 发表日期: 2007
• 页码: 455-481
• 关键词: moduli space

摘要

We show that, in characteristic zero, the obvious integral version of the Grothendieck-Riemann-Roch formula obtained by clearing the denominators of the Todd and Chern characters is true (without having to divide the Chow groups by their torsion subgroups). The proof introduces an alternative to Grothendieck's strategy: we use resolution of singularities and the weak factorization theorem for birational maps.