更多的谱：通过分次交换2-环的张量三角比较映射
Even more spectra: tensor triangular comparison maps via graded commutative 2-rings
摘要：
我们提出了分次交换2-环的理论，它是分次交换环的一个分类。我们的目标是提供一个系统的推广保罗巴尔默的比较地图之间的频谱张量三角范畴和Zebraki频谱的中心环。通过应用我们的构造，我们计算了任何分次交换环上完全复形的导出范畴的谱，并且我们将每一个具有丰富的线丛族的方案嵌入到相应的分次交换2-环的谱中.
英文摘要：
We initiate the theory of graded commutative 2-rings, a categorification of graded commutative rings. The goal is to provide a systematic generalization of Paul Balmer's comparison maps between the spectrum of tensor-triangulated categories and the Zariski spectra of their central rings. By applying our constructions, we compute the spectrum of the derived category of perfect complexes over any graded commutative ring, and we associate to every scheme with an ample family of line bundles an embedding into the spectrum of an associated graded commutative 2-ring.
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