2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60836M. Kapranov introduced and studied in math.AG/9802041 the noncommutative formal structure of a smooth affine variety. In this note we show that his construction is a special case of microlocalization and extend it in a functorial way to representation schemes of affine algebras. We describe the formal completion in the case of path algebras of quivers and initiate the study of their finite dimensional representations.Rings and AlgebrasAlgebraic Geometrytext