منابع مشابه
Redescribing intonational categories with functional data analysis
Intonational research is often dependent upon hand-labeling by trained listeners, which can be prone to bias or error. We apply tools from Functional Data Analysis (FDA) to a set of fundamental frequency (F0) data to demonstrate how these tools can provide a less theory-dependent way of investigating F0 contours by allowing statistical analyses of whole contours rather than depending on theoret...
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08MX In this chapter we write about derived categories associated to algebraic stacks. This means in particular derived categories of quasi-coherent sheaves, i.e., we prove analogues of the results on schemes (see Derived Categories of Schemes, Section 1) and algebraic spaces (see Derived Categories of Spaces, Section 1). The results in this chapter are different from those in [LMB00] mainly be...
متن کاملDerived Categories of Stacks
In this chapter we write about derived categories associated to algebraic stacks. This means in particular derived categories of quasi-coherent sheaves, i.e., we prove analogues of the results on schemes (see Derived Categories of Schemes, Section 1) and algebraic spaces (see Derived Categories of Spaces, Section 1). The results in this chapter are different from those in [LMB00] mainly because...
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3 Derived Categories 11 3.1 Extending Functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2 Truncations and Hearts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3 Bounded Derived Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.4 Plump Subcategories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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We review the basic definitions of derived categories and derived functors. We illustrate them on simple but non trivial examples. Then we explain Happel’s theorem which states that each tilting triple yields an equivalence between derived categories. We establish its link with Rickard’s theorem which characterizes derived equivalent algebras. We then examine invariants under derived equivalenc...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2000
ISSN: 0034-5318
DOI: 10.2977/prims/1195143226