Let $R$ be a Gorenstein local ring which is locally a hypersurface on the punctured spectrum. In this paper, we classify thick subcategories of the bounded derived category of finitely generated $R$-modules. Moreover, using this classification, we also classify thick subcategories of finitely generated $R$-modules, and find out the relationships with thick subcategories of Cohen-Macaulay $R$-modules.
"Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra." J. Math. Soc. Japan 65 (2) 357 - 374, April, 2013. https://doi.org/10.2969/jmsj/06520357