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- Title
BINOMIAL EDGE IDEALS AND RATIONAL NORMAL SCROLLS.
- Authors
CHAUDHRY, F.; DOKUYUCU, A.; ENE, V.
- Abstract
Let X = (x1 ... xn-1 xn x2 ... xn xn+1 ) be the Hankel matrix of size 2 x n and let G be a closed graph on the vertex set [n]: We study the binomial ideal IG ⊂ K[x1; ... , xn+1] which is generated by all the 2-minors of X which correspond to the edges of G: We show that IG is Cohen-Macaulay. We find the minimal primes of IG and show that IG is a set theoretical complete intersection. Moreover, a sharp upper bound for the regularity of IG is given.
- Subjects
RATIONAL numbers; CLOSED graph theorems; INTERSECTION numbers; COHEN-Macaulay modules; BINOMIAL equations
- Publication
Bulletin of the Iranian Mathematical Society, 2015, Vol 44, Issue 4, p971
- ISSN
1018-6301
- Publication type
Article