The aim is the formalization of Deformation Theory in an abstract model category, in order to study several geometric deformation problems from a unified point of view. The main geometric application is the description of the DG-Lie algebra controlling infinitesimal deformations of a separated scheme over a field of characteristic 0
1. GENERALITIES- Deformation theory is closely related to the problem of classification in algebraic...
We introduce a precise notion, in terms of few Schlessinger's type conditions, of extended deformati...
We realize the infinitesimal Abel–Jacobi map as a morphism of formal deformation theories, realized ...
We develop the notion of deformation of a morphism in a left-proper model category. As an applicatio...
We give an exposition of the formal aspects of deformation theory in the language of fibered categor...
AbstractThis is the second paper in a series. In part I we developed deformation theory of objects i...
We give an exposition of the formal aspects of deformation theory in the language of fibered categor...
In this paper we use the theory of formal moduli problems developed by Lurie in order to study the s...
AbstractThis is the first paper in a series. We develop a general deformation theory of objects in h...
Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero....
AbstractThis is the second paper in a series. In part I we developed deformation theory of objects i...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
AbstractWe develop a framework for derived deformation theory, valid in all characteristics. This gi...
AbstractThis is the third paper in a series. In Part I we developed a deformation theory of objects ...
1. GENERALITIES- Deformation theory is closely related to the problem of classification in algebraic...
We introduce a precise notion, in terms of few Schlessinger's type conditions, of extended deformati...
We realize the infinitesimal Abel–Jacobi map as a morphism of formal deformation theories, realized ...
We develop the notion of deformation of a morphism in a left-proper model category. As an applicatio...
We give an exposition of the formal aspects of deformation theory in the language of fibered categor...
AbstractThis is the second paper in a series. In part I we developed deformation theory of objects i...
We give an exposition of the formal aspects of deformation theory in the language of fibered categor...
In this paper we use the theory of formal moduli problems developed by Lurie in order to study the s...
AbstractThis is the first paper in a series. We develop a general deformation theory of objects in h...
Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero....
AbstractThis is the second paper in a series. In part I we developed deformation theory of objects i...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
AbstractWe develop a framework for derived deformation theory, valid in all characteristics. This gi...
AbstractThis is the third paper in a series. In Part I we developed a deformation theory of objects ...
1. GENERALITIES- Deformation theory is closely related to the problem of classification in algebraic...
We introduce a precise notion, in terms of few Schlessinger's type conditions, of extended deformati...
We realize the infinitesimal Abel–Jacobi map as a morphism of formal deformation theories, realized ...