Obstructions to Deformations of DG Modules

Mathematics – Rings and Algebras

Scientific paper

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9 pages

Scientific paper

Let k be a field and n > 0. There exists a DG k-module (V,d) and various
approximations d + t d_1 + t^2 d_2 + ... + t^n d_n to a differential on V[[t]],
one of which is a non-trivial deformation, another is obstructed, and another
is unobstructed at order n. The analogous problem in the category of k-algebras
in characteristic zero remains a long-standing open question.

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