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The Euler–Poincaré characteristic of joint reductions and mixed multiplicities.
- Source :
- Journal of Algebra & Its Applications; Feb2021, Vol. 20 Issue 02, pN.PAG-N.PAG, 20p
- Publication Year :
- 2021
-
Abstract
- This paper defines the Euler–Poincaré characteristic of joint reductions of ideals which concerns the maximal terms in the Hilbert polynomial; characterizes the positivity of mixed multiplicities in terms of minimal joint reductions; proves the additivity and other elementary properties for mixed multiplicities. The results of the paper together with the results of [Thanh and Viet, Mixed multiplicities of maximal degrees, J. Korean Math. Soc.55(3) (2018) 605–622] seem to show a natural and nice picture of mixed multiplicities of maximal degrees. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICS
OPTIMISM
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 20
- Issue :
- 02
- Database :
- Complementary Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 148945835
- Full Text :
- https://doi.org/10.1142/S0219498821500262