Header menu link for other important links
X
Periodic occurrence of complete intersection monomial curves
Published in
2013
Volume: 141
   
Issue: 12
Pages: 4199 - 4208
Abstract
We study the complete intersection property of monomial curves in the family. We prove that if is a complete intersection for j ≫ 0, then Γa+j+an is a complete intersection for j ≫ 0. This proves a conjecture of Herzog and Srinivasan on eventual periodicity of Betti numbers of semigroup rings under translations for complete intersections. We also show that if is a complete intersection for j ≫ 0, then is a complete intersection. We also characterize the complete intersection property of this family when n = 3. © 2013 American Mathematical Society.
About the journal
JournalProceedings of the American Mathematical Society
ISSN00029939
Open AccessYes