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arXiv · 2204.01374

Silting, cosilting, and extensions of commutative ring

Simion Breaz·Michal Hrbek·George Ciprian Modoi
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Abstract

We study the transfer of (co)silting objects in derived categories of module categories via the extension functors induced by a morphism of commutative rings. It is proved that the extension functors preserve (co)silting objects of (co)finite type. In many cases the bounded silting property descends along faithfully flat ring extensions. In particular, the notion of bounded silting complex is Zariski local.

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Simion Breaz, Michal Hrbek, George Ciprian Modoi. 2022-04-04. Silting, cosilting, and extensions of commutative ring. https://arxiv.org/abs/2204.01374

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