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Let  A  be a proper non-positive dg algebra over a field  k . For a simple-minded collection of the finite-dimensional derived category, we construct a “dual” silting object of the perfect derived categoryby using the Koszul duality for dg algebras. This induces a one-to-one correspondence between the equivalence classes of silting objects inand algebraic t-structures of.

The ST correspondence for proper non-positive dg algebras