真非正dg代数的ST对应
The ST correspondence for proper non-positive dg algebras
摘要：
设$A$是域$k$上的真非正dg代数.对于有限维导出范畴$\mathcal{D}_{fd}(A)$的简单集合，利用dg代数的Koszul对偶构造了完备导出范畴$\mathrm{per}(A)$的“对偶”selling对象.这导致了$\mathrm{per}(A)$中淤积对象的等价类与$\mathcal{D}_{fd}(A)$的代数t-结构之间的一一对应。
英文摘要：
Let $A$ be a proper non-positive dg algebra over a field $k$. For a simple-minded collection of the finite-dimensional derived category $\mathcal{D}_{fd}(A)$, we construct a 'dual' silting object of the perfect derived category $\mathrm{per}(A)$ by using the Koszul duality for dg algebras. This induces a one-to-one correspondence between the equivalence classes of silting objects in $\mathrm{per}(A)$ and algebraic t-structures of $\mathcal{D}_{fd}(A)$.
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