Work

Hilbert schemes and simple singularities E6, E7 and E8

Year: 1996

Type: preprint

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].

Source: Preprint Series of Department of Mathematics, Hokkaido University

DOI: 10.14943/83508

Author: Iku Nakamura

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W284147366

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Cited by: 3

Related to: 10