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THE POSITIVITY OF THE FIRST COEFFICIENTS OF NORMAL HILBERT POLYNOMIALS
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
THE POSITIVITY OF THE FIRST COEFFICIENTS OF NORMAL HILBERT POLYNOMIALS
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| Creator |
GOTO, S
HONG, J MANDAL, M |
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| Subject |
LOCAL-RINGS
IDEALS Associated graded ring Rees algebra normal ideal normal Hilbert polynomial |
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| Description |
Let R be an analytically unramified local ring with maximal ideal m and d = dim R > 0. If R is unmixed, then (e) over bar (1)(I)(R) >= 0 for every m-primary ideal I in R, where (e) over bar (1)(I)(R) denotes the first coefficient of the normal Hilbert polynomial of R with respect to I. Thus the positivity conjecture on (e) over bar (1)(I)(R) posed by Wolmer V. Vasconcelos is settled affirmatively.
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| Publisher |
AMER MATHEMATICAL SOC
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| Date |
2012-06-26T10:09:29Z
2012-06-26T10:09:29Z 2011 |
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| Type |
Article
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| Identifier |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,139(7)2399-2406
0002-9939 http://dx.doi.org/10.1090/S0002-9939-2010-10710-4 http://dspace.library.iitb.ac.in/jspui/handle/100/14369 |
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| Language |
English
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