Obstruction calculus for functors of Artin rings. I

DOI10.1006/jabr.1997.7239zbMath0981.13009OpenAlexW2014782862MaRDI QIDQ1265506

Marco Manetti, Barbara Fantechi

Publication date: 29 November 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7239

zbMATH Keywords

functors of Artin ringsobstruction theories

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (22)

Unobstructed Lagrangian deformations ⋮ Deformations of overconvergent isocrystals on the projective line ⋮ Cohomological constraint on deformations of compact Kähler manifolds ⋮ Change of rings in deformation theory of modules ⋮ Components and singularities of Quot schemes and varieties of commuting matrices ⋮ Which weakly ramified group actions admit a universal formal deformation? ⋮ Kuranishi spaces of meromorphic connections ⋮ Endomorphisms of Koszul complexes: formality and application to deformation theory ⋮ Some elementary examples of non-liftable varieties ⋮ The moduli space of stable supercurves and its canonical line bundle ⋮ Frobenius-Ehresmann structures and Cartan geometries in positive characteristic ⋮ Arithmetically rigid schemes via deformation theory of equivariant vector bundles. ⋮ Comparison theorems for deformation functors via invariant theory ⋮ Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra ⋮ Smoothings of schemes with nonisolated singularities ⋮ On deformations of ℚ-Fano 3-folds ⋮ A period map for generalized deformations ⋮ The $T^1$-lifting theorem in positive characteristic ⋮ On some examples of obstructed irregular surfaces ⋮ Elementary components of Hilbert schemes of points ⋮ Geometry of formal Kuranishi theory ⋮ On deformations of toric Fano varieties

Cites Work

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• Versal deformations and algebraic stacks
• Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Complexe cotangent et déformations. II
• Deformations of Plane Curves with Nodes and Cusps
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Singular Points of Complex Hypersurfaces. (AM-61)

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