Thick tensor ideals of right bounded derived categories of commutative rings

Let R be a commutative noetherian ring. Denote by D-(R) the derived category of cochain complexes X of finitely generated R-modules with H-i(X) = 0 for i >> 0. Then D-(R) has the structure of a tensor triangulated category with tensor product circle times(L)(R) and unit object R. In this article, we study thick tensor ideals of D-(R), i.e., thick subcategories closed under the tensor action by each object in D-(R), and investigate the Balmer spectrum Spc D-(R) of D-(R), i.e., the set of prime thick tensor ideals of D-(R). The results of the author given in this article are all taken from [Thick tensor ideals of right bounded derived categories, arXiv:1611.02826v1].