Comparison theorems for deformation functors via invariant theory

DOI10.1007/s13348-018-0232-zzbMath1451.14030arXiv1209.3444OpenAlexW1835949902MaRDI QIDQ1736921

Jan Arthur Christophersen, Jan O. Kleppe

Publication date: 26 March 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3444

zbMATH Keywords

toric varietiesdeformation theoryreductive groupscotangent complexHilbert groups

Mathematics Subject Classification ID

Deformations and infinitesimal methods in commutative ring theory (13D10) Deformations of singularities (14B07) Formal methods and deformations in algebraic geometry (14D15) Local deformation theory, Artin approximation, etc. (14B12)

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Cites Work

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• Deformations of smooth toric surfaces
• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• On canonical singularities as total spaces of deformations
• Castelnuovo curves and unobstructed deformations
• Formal moduli of algebraic structures
• Obstruction calculus for functors of Artin rings. I
• On the Hodge structure of projective hypersurfaces in toric varieties
• The smoothness and the dimension of \(PGor(H)\) and of other strata of the punctual Hilbert scheme
• Cohomology and toric varieties and local cohomology with monomial supports
• Local cohomology at monomial ideals
• Minkowski sums and homogeneous deformations of toric varieties
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Rigidity of quotient singularities
• Quotient spaces modulo reductive algebraic groups
• Cox Rings
• The Hilbert Function of a Reduced K -Algebra
• Deformations of Algebraic Schemes
• Deformation Theory
• On the Hilbert Scheme Compactification of the Space of Twisted Cubics
• Deformations of graded algebras.
• Equivariant G-Structure on Versal Deformations
• Obstructions to Deforming a space curve
• Espaces projectifs anisotropes
• Geometric Invariant Theory
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• One-parameter families containing three-dimensional toric Gorenstein singularities
• Multigraded Hilbert schemes
• Jumping of the nef cone for Fano varieties
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Further Pathologies in Algebraic Geometry