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.
@article{urn:eudml:doc:42035,
title = {Deforming syzygies of liftable modules and generalised Kn\"orrer functors},
journal = {Collectanea Mathematica},
volume = {58},
year = {2007},
pages = {255-277},
zbl = {1135.13007},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42035}
}
Ile, Runar. Deforming syzygies of liftable modules and generalised Knörrer functors. Collectanea Mathematica, Tome 58 (2007) pp. 255-277. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42035/