Deforming syzygies of liftable modules and generalised Knörrer functors

Runar Ile

Collectanea Mathematica (2007)

  • Volume: 58, Issue: 3, page 255-277
  • ISSN: 0010-0757

Abstract

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Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions.

How to cite

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Ile, Runar. "Deforming syzygies of liftable modules and generalised Knörrer functors." Collectanea Mathematica 58.3 (2007): 255-277. <http://eudml.org/doc/42035>.

@article{Ile2007,
abstract = {Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions. },
author = {Ile, Runar},
journal = {Collectanea Mathematica},
keywords = {versal deformation space; obstruction class; modular family; free resolution; maximal Cohen-Macaulay module},
language = {eng},
number = {3},
pages = {255-277},
title = {Deforming syzygies of liftable modules and generalised Knörrer functors},
url = {http://eudml.org/doc/42035},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Ile, Runar
TI - Deforming syzygies of liftable modules and generalised Knörrer functors
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 3
SP - 255
EP - 277
AB - Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions.
LA - eng
KW - versal deformation space; obstruction class; modular family; free resolution; maximal Cohen-Macaulay module
UR - http://eudml.org/doc/42035
ER -

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