References
- Balakrishnan, R., Jayanthan, A. V. (2016). A Northcott type inequality for Buchsbaum-Rim coefficients. J. Commut. Algebra 8(4):493–512.
- Brennan, J., Ulrich, B., Vasconcelos, W. V. (2001). The Buchsbaum-Rim polynomial of a module. J. Algebra 241:379–392.
- Buchsbaum, D. A., Rim, D. S. (1964). A generalized Koszul complex II. Depth and multiplicity. Trans. Amer. Math. Soc. 111:197–224.
- Corso, A., Polini, C., Vasconcelos, W. V. (2006). Multiplicity of the special fiber of blowups. Math. Proc. Cambridge Philos. Soc. 140(2):207–219.
- D’Cruz, C., Raghavan, K. N., Verma, J. K. (1999). Cohen-Macaulay fiber cones. In: Commutative Algebra, Algebraic Geometry, and Computational Methods (Hanoi, 1996). Singapore: Springer, pp. 233–246.
- Goto, S. (2000). Cohen-Macaulayness and negativity of A-invariants in Rees algebras associated to m-primary ideals of minimal multiplicity. J. Pure Appl. Algebra 152(1–3):93–107. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998).
- Hayasaka, F., Hyry, E. (2008). A family of graded modules associated to a module. Comm. Algebra 36(11):4201–4217.
- Huneke, C., Swanson, I. (2006). Integral Closure of Ideals, Rings, and Modules. London Mathematical Society Lecture Note Series, Vol. 336. Cambridge: Cambridge University Press.
- Jayanthan, A. V., Puthenpurakal, T. J., Verma, J. K. (2007). On fiber cones of 𝔪-primary ideals. Canad. J. Math. 59(1):109–126.
- Jayanthan, A. V., Verma, J. K. (2005). Hilbert coefficients and depth of fiber cones. J. Pure Appl. Algebra 201(1–3):97–115.
- Rossi, M. E. (2000). A bound on the reduction number of a primary ideal. Proc. Amer. Math. Soc. 128(5):1325–1332.
- Sally, J. D. (1992). Hilbert coefficients and reduction number 2. J. Algebraic Geom. 1(2):325–333.
- Shah, K. (1991). On the Cohen-Macaulayness of the fiber cone of an ideal. J. Algebra 143(1):156–172.
- Vasconcelos, W. (2005). Integral Closure: Rees Algebra, Multiplicities, Algorithms. Springer Monographs in Mathematics. New York: Springer Verlag.
- Vasconcelos, W. V. (1994). Hilbert functions, analytic spread, and Koszul homology. In: Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra (South Hadley, MA, 1992). Contemp. Math., Vol. 159. Providence, RI: Amer. Math. Soc., pp. 401–422.