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Hilbert schemes and simple singularities E6, E7 and E8
| Title: | Hilbert schemes and simple singularities E6, E7 and E8 |
| Authors: | Nakamura, I. Browse this author |
| Issue Date: | 1-Nov-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 362 |
| Start Page: | 1 |
| End Page: | 21 |
| Abstract: | For any finite subgroup G of S£(2, C) of order n, we consider HilbG(A.2 ) "a Hilbert scheme" parametrising G-invariant 0-dimensional subschemes of length n. HilbG (A.2 ) is a minimal resolution of a simple singularity A2 /G in the canonical manner. \Ve study HilbG(A2 ) in the cases of E5 1 E1 and Es in detail. As a consequence we have a new explanation for the ( classical) two-dimensional McKay correspondence in these cases as in the same manner as in [IN2]. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69112 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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