Derivations preserving a monomial ideal
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- by Yohannes Tadesse PDF
- Proc. Amer. Math. Soc. 137 (2009), 2935-2942 Request permission
Abstract:
Let $I$ be a monomial ideal in a polynomial ring $\mathbf {A}=\mathbf {k}[x_1,\ldots , x_n]$ over a field $\mathbf {k}$ of characteristic 0, $T_{\mathbf {A}/\mathbf {k}} (I)$ be the module of $I$-preserving $\mathbf {k}$-derivations on $\mathbf {A}$ and $G$ be the $n$-dimensional algebraic torus on $\mathbf {k}$. We compute the weight spaces of $T_{\mathbf {A}/\mathbf {k}} (I)$ considered as a representation of $G$. Using this, we show that $T_{\mathbf {A}/\mathbf {k}} (I)$ preserves the integral closure of $I$ and the multiplier ideals of $I$.References
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Additional Information
- Yohannes Tadesse
- Affiliation: Department of Mathematics, Addis Ababa University, P. O. Box 1176, Addis Ababa, Ethiopia
- Address at time of publication: Department of Mathematics, Stockholm University, SE 106-91, Stockholm, Sweden
- Email: yohannest@math.aau.edu.et, tadesse@math.su.se
- Received by editor(s): November 25, 2008
- Received by editor(s) in revised form: January 5, 2009
- Published electronically: May 4, 2009
- Communicated by: Bernd Ulrich
- © 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), 2935-2942
- MSC (2000): Primary 13A15, 13N15, 14Q99
- DOI: https://doi.org/10.1090/S0002-9939-09-09922-5
- MathSciNet review: 2506451