A direct proof of the theorem on formal functions
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- by Fernando Sancho de Salas and Pedro Sancho de Salas
- Proc. Amer. Math. Soc. 137 (2009), 4083-4088
- DOI: https://doi.org/10.1090/S0002-9939-09-10015-1
- Published electronically: July 30, 2009
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Abstract:
We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases.References
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Bibliographic Information
- Fernando Sancho de Salas
- Affiliation: Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain
- MR Author ID: 621464
- ORCID: 0000-0001-8915-2438
- Email: fsancho@usal.es
- Pedro Sancho de Salas
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain
- Email: sancho@unex.es
- Received by editor(s): July 2, 2008
- Received by editor(s) in revised form: April 26, 2009
- Published electronically: July 30, 2009
- Additional Notes: The first author was supported by research projects MTM2006-04779 (MEC) and SA001A07 (JCYL)
- Communicated by: Ted Chinburg
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 4083-4088
- MSC (2000): Primary 14A15; Secondary 14F99
- DOI: https://doi.org/10.1090/S0002-9939-09-10015-1
- MathSciNet review: 2538569