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The equations of almost complete intersections
Resource type
Authors/contributors
- Hong, Jooyoun (Author)
- Simis, Aron (Author)
- Vasconcelos, Wolmer V (Author)
Title
The equations of almost complete intersections
Abstract
In this paper we inject four Hilbert functions in the determination of the defining equations of the Rees algebra of almost complete intersections of finite co-length. Because three of the corresponding modules are Artinian, some of these relationships are very effective, with the novel approach opening up tracks to the determination of the equations and also to processes of going from homologically defined sets of equations to higher degrees ones. While not specifically directed towards the extraction of elimination equations, it will show how some of these arise naturally. © 2012 Sociedade Brasileira de Matemática.
Publication
Bulletin of the Brazilian Mathematical Society, New Series
Date
2012
Volume
43
Issue
2
Pages
171-199
Journal Abbr
Bull. Braz. Math. Soc.
Citation Key
pop00026
ISSN
16787544 (ISSN)
Language
English
Extra
16 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/001-835-914-392-47X
Citation
Hong, J., Simis, A., & Vasconcelos, W. V. (2012). The equations of almost complete intersections. Bulletin of the Brazilian Mathematical Society, New Series, 43(2), 171–199. https://doi.org/10.1007/s00574-012-0009-z
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