Construction of spectra of triangulated categories and applications to commutative rings

Hiroki Matsui; Ryo Takahashi

doi:10.2969/jmsj/82868286

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Construction of spectra of triangulated categories and applications to commutative rings

Hiroki Matsui, Ryo Takahashi

著者情報

キーワード: complete intersection, derived category, hypersurface, perfect complex, singularity category, spectrum, (prime/radical/tame) thick subcategory, triangulated category

ジャーナルフリー

2020 年 72 巻 4 号 p. 1283-1307

DOI https://doi.org/10.2969/jmsj/82868286

詳細

抄録

In this paper, as an analogue of the spectrum of a tensor-triangulated category introduced by Balmer, we define a spectrum of a triangulated category which is not necessarily tensor-triangulated. We apply it for some triangulated categories associated to a commutative noetherian ring.