An explicit construction of the McKay correspondence for \(A\)-Hilb \(\mathbb C^3\)
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Publication:1772441
DOI10.1016/j.jalgebra.2004.10.001zbMath1073.14008arXivmath/0010053OpenAlexW2167197544MaRDI QIDQ1772441
Publication date: 18 April 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0010053
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Ordinary representations and characters (20C15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Parametrization (Chow and Hilbert schemes) (14C05) (3)-folds (14J30) Classical real and complex (co)homology in algebraic geometry (14F25)
Related Items (15)
Flops of \(G\)-Hilb and equivalences of derived categories by variation of GIT quotient ⋮ Multigraded linear series and recollement ⋮ Derived Reid's recipe for abelian subgroups of \(\mathrm{SL}_3(\mathbb{C})\) ⋮ Reid's recipe and derived categories ⋮ Wall-crossing for iterated Hilbert schemes (or `Hilb of Hilb') ⋮ On Reid's recipe for non-abelian groups ⋮ On \(G/N\)-Hilb of \(N\)-Hilb ⋮ The Kähler quotient resolution of \({{\mathbb{C}}^3/ \Gamma}\) singularities, the mckay correspondence and \(D = 3\) \(\mathcal{N} = 2\) Chern-Simons gauge theories ⋮ Walls for \(G\)-Hilb via Reid's recipe ⋮ Instantons, quivers and noncommutative Donaldson-Thomas theory ⋮ The physical mirror equivalence for the local \(\mathbb P^2\) ⋮ A derived approach to geometric McKay correspondence in dimension three ⋮ Crepant resolutions of \(\mathbb{C}^3 \slash \mathbb{Z}_4\) and the generalized Kronheimer construction (in view of the gauge/gravity correspondence) ⋮ D-branes on noncompact Calabi-Yau manifolds: \(K\)-theory and monodromy ⋮ Geometric Reid's recipe for dimer models
Cites Work
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- McKay correspondence and Hilbert schemes in dimension three
- Flops of \(G\)-Hilb and equivalences of derived categories by variation of GIT quotient
- The McKay correspondence as an equivalence of derived categories
- Construction géométrique de la correspondance de McKay
- Varieties Defined by Quadratic Equations
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