Tilting, cotilting, and spectra of commutative noetherian rings

Angeleri Hügel, Lidia; Pospíšil, David; Šťovíček, Jan; Trlifaj, Jan

doi:10.1090/S0002-9947-2014-05904-7

Tilting, cotilting, and spectra of commutative noetherian rings
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by Lidia Angeleri Hügel, David Pospíšil, Jan Šťovíček and Jan Trlifaj PDF

Trans. Amer. Math. Soc. 366 (2014), 3487-3517 Request permission

Abstract:

We classify all tilting and cotilting classes over commutative noetherian rings in terms of descending sequences of specialization closed subsets of the Zariski spectrum. Consequently, all resolving subcategories of finitely generated modules of bounded projective dimension are classified. We also relate our results to Hochster’s Conjecture on the existence of finitely generated maximal Cohen-Macaulay modules.

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