2002/12/15 by A. V. Jayanthan, Jayanthan, A. V., J. K. Verma +1
Computer Science · Mathematics · #13A02 (Secondary) #13C15 #13H10 #13H15 (Primary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC #math.AG #msc:13A02 #msc:13C15 #msc:13H10 #msc:13H15
paper · pdf · doi:10.48550/arxiv.math/0212196
17 pages
arxiv created 2002/12/15 · openalex publication_date 2002/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Fiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another ideal is introduced. This is used to find a bound on the reduction number with respect to an ideal. Rossi's bound on reduction number in terms of Hilbert coefficients is obtained as a consequence. Sufficient conditions are provided for the fiber cone of 0-dimensional ideals to have almost maximal depth. Hilbert series of such fiber cones are also computed.