Details:
Title  Rees algebras of truncations of complete intersections  Author(s)  KueiNuan Lin, Claudia Polini  Type  Article in Journal  Abstract  Abstract In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m . To describe explicitly the Rees algebra R ( I ) in terms of generators and relations we map another Rees ring R ( M ) onto it, where M is the direct sum of powers of m . We compute a Gröbner basis of the ideal defining R ( M ) . It turns out that the normal domain R ( M ) is a Koszul algebra and from this we deduce that in many instances R ( I ) is a Koszul algebra as well.  Keywords  Elimination theory, Gröbner basis, Koszul algebras, Rees algebra, Special fiber ring  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869314001811 
Language  English  Journal  Journal of Algebra  Volume  410  Pages  36  52  Year  2014  Edition  0  Translation 
No  Refereed 
No 
