AI 中文总结
本文针对奇点为环面上奇点内完全交的良构簇，将有界凝聚层导出范畴的经典公式推广到奇异情形，并讨论终复三维簇及其栈间态射的Bondal-Orlov局部化问题。
AI 中文摘要
我们研究奇点为环面上奇点内完全交的代数簇，称其为良构簇。利用等变标准分解的构造，我们可将有界凝聚层导出范畴中的若干经典公式推广到这类奇异情形。最后，我们还讨论了终复三维簇及其栈间某些态射的Bondal-Orlov局部化问题。
英文摘要
We consider varieties whose singularities are complete intersections within toric singularities, which we call well-formed varieties. Using the construction of equivariant standard resolutions, we can extend several classical formulas in the derived category of bounded coherent sheaves to this singular setting. Finally, we also discuss the Bondal--Orlov localization for certain morphisms between terminal complex threefolds and their stacks.
