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Ideals generated by quadrics
Resource type
Authors/contributors
- Hong, Jooyoun (Author)
- Simis, Aron (Author)
- Vasconcelos, Wolmer V (Author)
Title
Ideals generated by quadrics
Abstract
Our purpose is to study the cohomological properties of the Rees algebras of a class of ideals generated by quadrics. For all such ideals I⊂. R=. K[. x, y, z] we give the precise value of depth. R[. It] and decide whether the corresponding rational maps are birational. In the case of dimension d≥. 3, when K=R, we give structure theorems for all ideals of codimension d minimally generated by (d+12)-1 quadrics. For arbitrary fields K, we prove a polarized version. © 2014 Elsevier Inc.
Publication
Journal of Algebra
Date
2015
Volume
423
Pages
177-189
Journal Abbr
J. Algebra
Citation Key
pop00126
ISSN
00218693 (ISSN)
Language
English
Extra
4 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/170-755-992-597-815
tex.type: [object Object]
Citation
Hong, J., Simis, A., & Vasconcelos, W. V. (2015). Ideals generated by quadrics. Journal of Algebra, 423, 177–189. https://doi.org/10.1016/j.jalgebra.2014.09.027
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