Beyond Schlessinger: Deformation Stacks

Abstract

Many basic examples of deformation theory fall into certain predictable patterns, but have not been studied systematically in an elementary way. Certain statements are intuitively clear: for instance, that for a deformation problem on a scheme X with locally trivial deformations and obstructions, the tangent space is given by H1(X, T ) and obstructions lie… (More)

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