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Archivio della ricerca- Università di Roma La Sapienza
Article . 2002
License: CC BY NC SA
Full-Text: https://iris.uniroma1.it/bitstream/11573/76994/1/Manetti_Extended-deformation_postprint_2002.pdf
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Preprint . 1999
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Article . 2002
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https://dx.doi.org/10.48550/ar...
Article . 1999
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Extended deformation functors

Extended deformation functors.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 1999Embargo end date: 01 Jan 1999 Italy Publisher:arXiv
Authors: MANETTI, Marco;

doi: 10.48550/arxiv.math/9910071

arXiv: math/9910071

handle: 11573/76994

Extended deformation functors

Abstract

We introduce a precise notion, in terms of few Schlessinger's type conditions, of extended deformation functors which is compatible with most of recent ideas in the Derived Deformation Theory (DDT) program and with geometric examples. With this notion we develop the (extended) analogue of Schlessinger and obstruction theories. The inverse mapping theorem holds for natural transformations of extended deformation functors and all such functors with finite dimensional tangent space are prorepresentable in the homotopy category.

Contains the previously announced part II

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Italy
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Keywords

13D10, Variation of Hodge structures (algebro-geometric aspects), Moduli problems for differential geometric structures, 14D15, Differential graded algebras and applications (associative algebraic aspects), Mathematics - Commutative Algebra, 14B10, Commutative Algebra (math.AC), derived deformation theory, Mathematics - Algebraic Geometry, Complex-analytic moduli problems, Algebraic moduli problems, moduli of vector bundles, Deformations of associative rings, deformation functors, Mathematics - Quantum Algebra, 13D10;14B10;14D15, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, FOS: Mathematics, Graded Lie (super)algebras, Quantum Algebra (math.QA), Homological methods in Lie (super)algebras, Algebraic Geometry (math.AG)

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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