A property of local cohomology modules of polynomial rings
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- by Yi Zhang PDF
- Proc. Amer. Math. Soc. 139 (2011), 125-128 Request permission
Abstract:
Let $R=k[x_1,\cdots , x_n]$ be a polynomial ring over a field $k$ of characteristic $p>0,$ and let $I=(f_1,\cdots ,f_s)$ be an ideal of $R.$ We prove that every associated prime $P$ of $H^i_I(R)$ satisfies $\text {dim}R/P\geqslant n-\sum \text {deg}f_i.$ In characteristic $0$ the question is open.References
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Additional Information
- Yi Zhang
- Affiliation: Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- Email: zhang397@umn.edu
- Received by editor(s): March 29, 2010
- Published electronically: August 3, 2010
- Additional Notes: NSF support through grant DMS-0701127 is gratefully acknowledged.
- Communicated by: Irena Peeva
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 125-128
- MSC (2010): Primary 13D45
- DOI: https://doi.org/10.1090/S0002-9939-2010-10530-0
- MathSciNet review: 2729076