WebJul 28, 2009 · Let G be a polyhedral group, namely a finite subgroup of SO (3). Nakamura’s G -Hilbert scheme provides a preferred Calabi-Yau resolution Y of the polyhedral singularity ℂ 3 / G. The classical McKay correspondence describes the classical geometry of Y in terms of the representation theory of G.
The quantum McKay correspondence for polyhedral singularities
WebHilbert schemes of finite abelian group orbits and Gro¨bner fans Tomohito Morita Department of Mathematics Tokyo Institute of Technology Oh-okayama, Meguro-ku, … Web1 The Hilbert scheme of points as a set There are several objects in mathematics which have the magical property of appearing in various areas and which are, therefore, of the greatest interest for mathematicians. One of those, of which we shall discuss in these notes, is the Hilbert scheme of points on a surface. how much are big bear lift tickets
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WebHilbert schemes of abelian group orbits. K. Hulek, F. Catanese, +2 authors. I. Nakamura. Published 1999. Mathematics. For G a finite abelian subgroup of SL (3, k) we construct a … WebIsometric Group Actions on Hilbert Spaces: Structureof Orbits 1005 measure µ is supported in Gˆ − Xε.As this holds for every ε > 0, we see that µ is supportedin {ρ ∈ Gˆ : ρ(z) = 1}, to the effectthat π(z) = 1. Proposition 3.4 Let G be a topological group, and π a unitary representation of G. Suppose that H1(G,π) 6= 0.Then π has a nonzero subrepresentation … WebDec 7, 2024 · G-invariant Hilbert schemes on Abelian surfaces and enumerative geometry of the orbifold Kummer surface ... Consider a complex Abelian surface A, and a finite group G acting on A preserving the holomorphic symplectic form. ... they are interested in enumerating orbits of curves with rational quotient. Though the perspective is somewhat ... how much are bicycle pumps