Algebraic deformations of toric varieties. I: General constructions

DOI10.1016/j.aim.2013.06.025zbMath1288.14003arXiv1001.1242OpenAlexW2963854245MaRDI QIDQ2437494

Richard J. Szabo, Giovanni Landi, Lucio Simone Cirio

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1242

zbMATH Keywords

noncommutative geometrytoric geometryisospectral deformationsbraided monoidal categoriesnoncommutative instantonsdeformations of algebraic torinoncommutative Grassmannian

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Formal methods and deformations in algebraic geometry (14D15)

Related Items (10)

\(\mathcal{N} = 2\) gauge theories, instanton moduli spaces and geometric representation theory ⋮ Hochschild cohomology and deformation quantization of affine toric varieties ⋮ Veronese and Segre morphisms between non-commutative projective spaces ⋮ Symbolic dynamics, modular curves, and Bianchi IX cosmologies ⋮ Instantons and vortices on noncommutative toric varieties ⋮ Instantons, topological strings, and enumerative geometry ⋮ Mapping spaces and automorphism groups of toric noncommutative spaces ⋮ Curve counting, instantons and McKay correspondences ⋮ Double-graded quantum superplane ⋮ A 4-sphere with noncentral radius and its instanton sheaf

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