Abstract
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 category by using the Koszul duality for dg algebras. This induces a one-to-one correspondence between the equivalence classes of silting objects in and algebraic t-structures of .
Acknowledgments
The author would like to thank Dong Yang for introducing me this topic and for his consistent encouragement and support. He also thanks Zongzhen Xie for her careful reading of the paper and for her helpful comments.