Semiregularity and obstructions of complete intersections

DOI10.1016/j.aim.2012.11.011zbMath1267.13032arXiv1112.0425OpenAlexW2065428528MaRDI QIDQ1941144

Marco Manetti, Donatella Iacono

Publication date: 11 March 2013

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

Full work available at URL: https://arxiv.org/abs/1112.0425

zbMATH Keywords

homotopy fiberDeligne groupoidDG schemesDGLAGromow-Witten invariants\(L_\infty\)-algebrasCartan homotopiesDifferential graded Lie algebrasemicosimplicialsemifree modulesemiregularity map

Mathematics Subject Classification ID

Deformations and infinitesimal methods in commutative ring theory (13D10) Infinitesimal methods in algebraic geometry (14B10) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (10)

Endomorphisms of Koszul complexes: formality and application to deformation theory ⋮ Cyclic forms on DG-Lie algebroids and semiregularity ⋮ \(L_\infty\) liftings of semiregularity maps via Chern-Simons classes ⋮ Obstructions to deforming maps from curves to surfaces ⋮ On Deformations of Pairs (Manifold, Coherent Sheaf) ⋮ Connections and \(L_\infty\) liftings of semiregularity maps ⋮ Completion and torsion over commutative DG rings ⋮ Nonabelian higher derived brackets ⋮ Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds ⋮ On some formality criteria for DG-Lie algebras

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