Reid's recipe and derived categories

DOI10.1016/j.jalgebra.2010.04.012zbMath1223.14018arXiv0812.4503OpenAlexW2042311171MaRDI QIDQ615880

Timothy Logvinenko

Publication date: 7 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4503

zbMATH Keywords

derived categoriesintegral transformFourier-Mukai transformMcKay correspondencequotient singularitiesReid's recipe

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) McKay correspondence (14E16)

Related Items (3)

Multigraded linear series and recollement ⋮ Derived Reid's recipe for abelian subgroups of \(\mathrm{SL}_3(\mathbb{C})\) ⋮ Geometric Reid's recipe for dimer models

Cites Work

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• An explicit construction of the McKay correspondence for \(A\)-Hilb \(\mathbb C^3\)
• Flops of \(G\)-Hilb and equivalences of derived categories by variation of GIT quotient
• Derived McKay correspondence via pure-sheaf transforms
• Natural \(G\)-constellation families
• The McKay correspondence as an equivalence of derived categories
• Construction géométrique de la correspondance de McKay
• A derived approach to geometric McKay correspondence in dimension three
• McKay correspondence

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