caa a22 4500 445378778 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10485-009-9204-5 doi (NATIONALLICENCE)springer-10.1007/s10485-009-9204-5 On the Existence of a Compact Generator on the Derived Category of a Noetherian Formal Scheme [Elektronische Daten] [Leovigildo Alonso Tarrío, Ana Jeremías López, Marta Pérez Rodríguez, María Vale Gonsalves] In this paper, we prove that for a noetherian formal scheme $\mathfrak X$ , its derived category of sheaves of modules with quasi-coherent torsion homologies $\boldsymbol{\mathsf{D}}_\mathsf{qct}(\mathfrak X)$ is generated by a single compact object. In an Appendix we prove that the category of compact objects in $\boldsymbol{\mathsf{D}}_\mathsf{qct}(\mathfrak X)$ is skeletally small. Springer Science+Business Media B.V., 2009 Formal schemes nationallicence Derived categories nationallicence Compactly generated categories nationallicence Perfect complexes nationallicence Skeletally small categories nationallicence Alonso Tarrío Leovigildo Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut Jeremías López Ana Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut Pérez Rodríguez Marta Departamento de Matemáticas, Esc. Sup. de Enx. Informática, Campus de Ourense, Universidade de Vigo, 32004, Ourense, Spain aut Vale Gonsalves María Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 865-877 0927-2852 19:6<865 2011 19 10485 https://doi.org/10.1007/s10485-009-9204-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9204-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alonso Tarrío Leovigildo Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut NATIONALLICENCE 700 1- Jeremías López Ana Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut NATIONALLICENCE 700 1- Pérez Rodríguez Marta Departamento de Matemáticas, Esc. Sup. de Enx. Informática, Campus de Ourense, Universidade de Vigo, 32004, Ourense, Spain aut NATIONALLICENCE 700 1- Vale Gonsalves María Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 865-877 0927-2852 19:6<865 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer