科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let J(G) denote the binomial edge ideal of a connected undirected graph on n vertices. This is the ideal generated by the binomials x(i)y(i) - x(i)y(i), 1 <= i < j <= n, in the polynomial ring S = K[x(1), ... , x(n), y(1), ... , Y-n] where {i, j} is an edge of G. We study the arithmetic properties of S/J(G) for G, the complete bipartite graph. In particular we compute dimensions, depths, Castelnuovo-Mumford regularities, Hilbert functions and multiplicities of them. As main results we give an explicit description of the modules of deficiencies, the duals of local cohomology modules, and prove the purity of the minimal free resolution of S/J(G).
- 出版日期2014
