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The module of logarithmic derivations of a generic determinantal ideal.
- Source :
- Proceedings of the American Mathematical Society; Nov2020, Vol. 148 Issue 11, p4621-4634, 14p
- Publication Year :
- 2020
-
Abstract
- An important problem in algebra and related fields (such as algebraic and complex analytic geometry) is to find an explicit, well-structured, minimal set of generators for the module of logarithmic derivations of classes of homogeneous ideals in polynomial rings. In this note we settle the case of the ideal P ⊂ R = K[{X<subscript>i,j</subscript>}] generated by the maximal minors of an (n + 1) × n generic matrix (X<subscript>i,j</subscript>) over an arbitrary field K with n ≥ 2. We also characterize when the derivation module of R/P is Ulrich, and we investigate this property if we replace R/P by determinantal rings arising from simple degenerations of the generic case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 148
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 145454168
- Full Text :
- https://doi.org/10.1090/proc/15142