标题： 参数空间在上同调类型上的分层 显示英文标题

标题： Stratifications of parameter spaces for complexes by cohomology types

摘要： 我们研究了一组稳定性条件（在Schmitt的意义下）对于在光滑复射影流形上由正有理参数索引的层复形。 我们证明，当这个参数取小值时，复形的Harder-Narasimhan分解编码了该复形的上同调层的Harder-Narasimhan分解。 最后，我们将与这些稳定性参数相关的复形参数空间的一个局部闭子概形分层与按Harder-Narasimhan类型分层相关联。 显示英文摘要

摘要： We study a collection of stability conditions (in the sense of Schmitt) for complexes of sheaves over a smooth complex projective variety indexed by a positive rational parameter. We show that the Harder-Narasimhan filtration of a complex for small values of this parameter encodes the Harder-Narasimhan filtrations of the cohomology sheaves of this complex. Finally we relate a stratification into locally closed subschemes of a parameter space for complexes associated to these stability parameters with the stratification by Harder-Narasimhan types.