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The cup product of Hilbert schemes for K3 surfaces |
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| Authors: | Manfred Lehn Christoph Sorger |
| Institution: | 1.Fachbereich Mathematik und Informatik, Johannes-Gutenberg-Universit?t Mainz, D-55099 Mainz, Germany (e-mail: lehn@mathematik.uni-mainz.de),DE;2.Laboratoire Jean Leray, UMR 6629 du CNRS, Faculté des Sciences, Université de Nantes, 2, Rue de la Houssinière, BP 92208, F-44322 Nantes Cedex 03, France (e-mail: christoph.sorger@math.univ-nantes.fr),FR |
| Abstract: | 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] ≅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. Oblatum 25-I-2001 & 18-IX-2002?Published online: 24 February 2003 |
| Keywords: | Mathematical Subject Classification (1991): 14C05 14C15 20B30 17B68 17B69 20C05 |
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