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227,321
DEFORMATION THEORY OF DIALGEBRA MORPHISMS
, 2006
"... Abstract. An algebraic deformation theory of dialgebra morphisms is obtained. 1. ..."
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Abstract. An algebraic deformation theory of dialgebra morphisms is obtained. 1.
DEFORMATION THEORY OF GALOIS REPRESENTATIONS
"... Local torsion on elliptic curves and the deformation theory of galois representations ..."
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Local torsion on elliptic curves and the deformation theory of galois representations
Log smooth deformation theory
 Tohoku Math. J
, 1996
"... This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull. This deformation theory gives, for example, the following two types of deformations: (1) relative def ..."
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Cited by 40 (4 self)
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This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull. This deformation theory gives, for example, the following two types of deformations: (1) relative
Deformation Theory
"... 1.1. On the dimension of an analytic algebra 5 1.2. Analytic algebras 10 ..."
Deformation theory of infinity algebras
 Journal of Algebra
"... Abstract. This work explores the deformation theory of algebraic structures in a very general setting. These structures include commutative, associative algebras, Lie algebras, and the infinity versions of these structures, the strongly homotopy associative and Lie algebras. In all these cases the a ..."
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Cited by 26 (14 self)
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Abstract. This work explores the deformation theory of algebraic structures in a very general setting. These structures include commutative, associative algebras, Lie algebras, and the infinity versions of these structures, the strongly homotopy associative and Lie algebras. In all these cases
Deformation theory of abelian categories
 in Math. 198 (2005
"... Abstract. In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the wellknown deformation theory of algebras developed by Gerstenhaber. As part of our deformation theory we define a notion of flatness for abelian cat ..."
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Cited by 8 (1 self)
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Abstract. In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the wellknown deformation theory of algebras developed by Gerstenhaber. As part of our deformation theory we define a notion of flatness for abelian
DEFORMATION THEORY OF MODULES
, 2005
"... Abstract. Algebraic deformations of modules over a ring are considered. The resulting theory closely resembles Gerstenhaberâ€™s deformation theory of associative algebras. 1. ..."
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Cited by 1 (0 self)
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Abstract. Algebraic deformations of modules over a ring are considered. The resulting theory closely resembles Gerstenhaberâ€™s deformation theory of associative algebras. 1.
Lectures on Deformation Theory
, 2004
"... My goal in these notes is to give an introduction to deformation theory by doing some basic constructions in careful detail in their simplest cases, by explaining why people do things the way they do, with examples, and then giving some typical interesting applications. The early sections of these n ..."
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Cited by 18 (0 self)
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My goal in these notes is to give an introduction to deformation theory by doing some basic constructions in careful detail in their simplest cases, by explaining why people do things the way they do, with examples, and then giving some typical interesting applications. The early sections
ON DEFORMATION THEORY AND QUANTIZATION
, 704
"... Abstract. Deformation theory requires solving MaurerCartan equation (MCE) associated to an DGLA (Linfinity algebra). The universal solution of [HS] is obtained iteratively, as a fixed point of a contraction, analogous to the Picard method. The role of the Kuranishi functor in this construction is ..."
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Abstract. Deformation theory requires solving MaurerCartan equation (MCE) associated to an DGLA (Linfinity algebra). The universal solution of [HS] is obtained iteratively, as a fixed point of a contraction, analogous to the Picard method. The role of the Kuranishi functor in this construction
Results 1  10
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227,321