Formal structures and representation spaces

Details Formal structures and representation spaces Formal structures and representation spaces

2001-01-29

arxiv.org/abs/math/0101231v1

Mathematics

Rings and Algebras

Scientific paper

M. 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.

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