ICAR Research Data Repository for Knowledge Management
ON THE CHERN NUMBER OF I-ADMISSIBLE FILTRATIONS OF IDEALS
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
ON THE CHERN NUMBER OF I-ADMISSIBLE FILTRATIONS OF IDEALS
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| Creator |
MANDAL, M
VERMA, JK |
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| Subject |
HILBERT COEFFICIENTS
LOCAL-RINGS |
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| Description |
Let I be an m-primary ideal of a Noetherian local ring (R, m) of positive dimension. The coefficient e(1)(I) of the Hilbert polynomial of an I-admissible filtration I is called the Chern number of I. A formula for the Chern number has been derived involving the Euler characteristic of subcomplexes of a Koszul complex. Specific formulas for the Chern number have been given in local rings of dimension at most two. These have been used to provide new and unified proofs of several results about e(1)(I).
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| Publisher |
ROCKY MT MATH CONSORTIUM
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| Date |
2014-10-15T16:47:12Z
2014-10-15T16:47:12Z 2012 |
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| Type |
Article
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| Identifier |
JOURNAL OF COMMUTATIVE ALGEBRA, 4(4)577-589
http://dx.doi.org/10.1216/JCA-2012-4-4-577 http://dspace.library.iitb.ac.in/jspui/handle/100/15247 |
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| Language |
en
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