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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Correction to the paper “Duality and flat base change on formal schemes”
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by Leovigildo Alonso Tarrío, Ana Jeremías López and Joseph Lipman PDF
Proc. Amer. Math. Soc. 131 (2003), 351-357 Request permission

Abstract:

In §8.3 of our paper “Duality and Flat Base Change on Formal Schemes" some important results concerning localization and preservation of coherence by basic duality functors were based on the false statement that any closed formal subscheme of an open subscheme of the completion $\mathscr P$ of a relative projective space is an open subscheme of a closed formal subscheme of $\mathscr P$. In this note, the said results are provided with solid foundations.
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Additional Information
  • Leovigildo Alonso Tarrío
  • Affiliation: Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain
  • MR Author ID: 25070
  • ORCID: 0000-0002-6896-0652
  • Email: leoalonso@usc.es
  • Ana Jeremías López
  • Affiliation: Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain
  • Email: jeremias@usc.es
  • Joseph Lipman
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • Email: lipman@math.purdue.edu
  • Received by editor(s): July 2, 2001
  • Received by editor(s) in revised form: September 7, 2001
  • Published electronically: June 5, 2002
  • Additional Notes: The first two authors were partially supported by Spain’s DGESIC PB97-0530 research project. They thank the Mathematics Department of Purdue University for its hospitality and support.
    The third author was partially supported by the National Security Agency.
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 351-357
  • MSC (2000): Primary 14F99; Secondary 13D99, 14B15, 32C37
  • DOI: https://doi.org/10.1090/S0002-9939-02-06558-9
  • MathSciNet review: 1933323