The cup product of Hilbert schemes for K3 surfaces

• 成果类型: Article
• 署名作者: Lehn, M; Sorger, C
• 署名单位: Johannes Gutenberg University of Mainz; Nantes Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-002-0270-7
• 发表日期: 2003
• 页码: 305-329
• 关键词: cohomology ring; points; ALGEBRAS; sheaves

摘要

To any graded Frobenius algebra A we associate a sequence of graded Frobenius algebras A([n]) so that there is canonical isomorphism of rings (H* (X; Q)[2])([n]) congruent to H* (X-[n]; Q)[2n] for the Hilbert scheme X-[n] of generalised n-tuples of any smooth projective surface X with numerically trivial canonical bundle.