Finiteness Theorems for Deformations of Complexes

Frauke M. Bleher[1]; Ted Chinburg[2]

  • [1] University of Iowa Department of Mathematics Iowa City, IA 52242-1419 (U.S.A.)
  • [2] University of Pennsylvania Department of Mathematics Philadelphia, PA 19104-6395 (U.S.A.)

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 2, page 573-612
  • ISSN: 0373-0956

Abstract

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We consider deformations of bounded complexes of modules for a profinite group G over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be represented by a complex of G -modules that is strictly perfect over the associated versal deformation ring.

How to cite

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Bleher, Frauke M., and Chinburg, Ted. "Finiteness Theorems for Deformations of Complexes." Annales de l’institut Fourier 63.2 (2013): 573-612. <http://eudml.org/doc/275614>.

@article{Bleher2013,
abstract = {We consider deformations of bounded complexes of modules for a profinite group $G$ over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be represented by a complex of $G$-modules that is strictly perfect over the associated versal deformation ring.},
affiliation = {University of Iowa Department of Mathematics Iowa City, IA 52242-1419 (U.S.A.); University of Pennsylvania Department of Mathematics Philadelphia, PA 19104-6395 (U.S.A.)},
author = {Bleher, Frauke M., Chinburg, Ted},
journal = {Annales de l’institut Fourier},
keywords = {Versal and universal deformations; derived categories; finiteness questions; tame fundamental groups; versal and universal deformations},
language = {eng},
number = {2},
pages = {573-612},
publisher = {Association des Annales de l’institut Fourier},
title = {Finiteness Theorems for Deformations of Complexes},
url = {http://eudml.org/doc/275614},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Bleher, Frauke M.
AU - Chinburg, Ted
TI - Finiteness Theorems for Deformations of Complexes
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 2
SP - 573
EP - 612
AB - We consider deformations of bounded complexes of modules for a profinite group $G$ over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be represented by a complex of $G$-modules that is strictly perfect over the associated versal deformation ring.
LA - eng
KW - Versal and universal deformations; derived categories; finiteness questions; tame fundamental groups; versal and universal deformations
UR - http://eudml.org/doc/275614
ER -

References

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  2. Frauke M. Bleher, Ted Chinburg, Deformations and derived categories, Ann. Inst. Fourier (Grenoble) 55 (2005), 2285-2359 Zbl1138.11020MR2207385
  3. Frauke M. Bleher, Ted Chinburg, Obstructions for deformations of complexes, Ann. Inst. Fourier (Grenoble) 63 (2013), 613-654 Zbl06193042
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