24 citations · 41 across the 21 of their papers we have counts for
27 papers
Polynomial growth of Betti sequences over local rings
Luchezar L. Avramov, Alexandra Seceleanu, Zheng Yang
This is a study of the sequences of Betti numbers of finitely generated modules over a complete intersection local ring, . The subsequences with even,…
Persistence of homology over commutative noetherian rings
Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh +1
We describe new classes of noetherian local rings whose finitely generated modules have the property that for implies that has finite projecti…
Restricting homology to hypersurfaces
Luchezar L. Avramov, Srikanth B. Iyengar
This paper concerns the homological properties of a module over a commutative noetherian ring relative to a presentation , where is local ring. It is proved…
Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra
Luchezar L. Avramov, Srikanth B. Iyengar, Amnon Neeman
There is a well known link from the first topic in the title to the third one. In this paper we thread that link through the second topic. The central result is a criterion for the…
Homology over trivial extensions of commutative DG algebras
Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh +1
Conditions on the Koszul complex of a noetherian local ring guarantee that is non-zero for infinitely many , when and are finitely genera…
Subadditivity of syzygies of Koszul algebras
Luchezar L. Avramov, Aldo Conca, Srikanth B. Iyengar
Estimates are obtained for the degrees of minimal syzygies of quotient algebras of polynomial rings. For a class that includes Koszul algebra in almost all characteristics, these d…