2011/12/16 by Ene, Viviana, Qureshi, Ayesha Asloob
#13C20 #13C40 #13P10 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1112.3721
With a simple graph G on [n], we associate a binomial ideal PG generated by diagonal minors of an n × n matrix X=(xij) of variables. We show that for any graph G, PG is a prime complete intersection ideal and determine the divisor class group of K[X]/ PG. By using these ideals, one may find a normal domain with free divisor class group of any given rank.