Resumen de Deforming syzygies of liftable modules and generalised Knörrer functors

Ile Runar

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