On the Eisenbud-Green-Harris conjecture
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- by Abed Abedelfatah
- Proc. Amer. Math. Soc. 143 (2015), 105-115
- DOI: https://doi.org/10.1090/S0002-9939-2014-12216-7
- Published electronically: September 15, 2014
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Abstract:
It has been conjectured by Eisenbud, Green and Harris that if $I$ is a homogeneous ideal in $k[x_1,\dots ,x_n]$ containing a regular sequence $f_1,\dots ,f_n$ of degrees $\deg (f_i)=a_i$, where $2\leq a_1\leq \cdots \leq a_n$, then there is a homogeneous ideal $J$ containing $x_1^{a_1},\dots ,x_n^{a_n}$ with the same Hilbert function. In this paper we prove the Eisenbud-Green-Harris Conjecture when $f_i$ splits into linear factors for all $i$.References
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Bibliographic Information
- Abed Abedelfatah
- Affiliation: Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
- Email: abed@math.haifa.ac.il
- Received by editor(s): January 16, 2012
- Received by editor(s) in revised form: March 28, 2013
- Published electronically: September 15, 2014
- Communicated by: Irena Peeva
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 105-115
- MSC (2010): Primary 13A02; Secondary 13A15
- DOI: https://doi.org/10.1090/S0002-9939-2014-12216-7
- MathSciNet review: 3272735