2017/01/19 by Ghezzi, Laura, Goto, Shiro, Hong, Jooyoun +1
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1701.05592
The purpose of this paper is to introduce new invariants of Cohen-Macaulay local rings. Our focus is the class of Cohen-Macaulay local rings that admit a canonical ideal. Attached to each such ring R with a canonical ideal C, there are integers--the type of R, the reduction number of C--that provide valuable metrics to express the deviation of R from being a Gorenstein ring. We enlarge this list with other integers--the roots of R and several canonical degrees. The latter are multiplicity based functions of the Rees algebra of C.