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Paper

A counterexample to DG version of Han's conjecture

Abstract

In 2004, Han proposed the following conjecture: let be a finite-dimensional -algebra. If for only finitely many , then is smooth. This conjecture can be generalized to the DG setting: let be a finite-dimensional DG -algebra. If for only finitely many , then is smooth. In this note, we show that the DG generalization of Han's conjecture is false.