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TitleIdeals generated by diagonal 2-minors.
Author(s) Viviana Ene, Ayesha Asloob Qureshi
TypeArticle in Journal
AbstractWith 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.
KeywordsBinomial ideals, Divisor class groups, Gröbner bases, Graphs
ISSN0092-7872; 1532-4125/e
URL http://www.tandfonline.com/doi/abs/10.1080/00927872.2012.672603
LanguageEnglish
JournalCommun. Algebra
Volume41
Number8
Pages3058--3066
PublisherTaylor & Francis, Philadelphia, PA
Year2013
Edition0
Translation No
Refereed No
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