24 citations · 41 across the 21 of their papers we have counts for
6 papers · 1 filter
Homological invariants of modules over contracting endomorphisms
Luchezar L. Avramov, Melvin Hochster, Srikanth B. Iyengar +1
It is proved that when R is a local ring of positive characteristic, is its Frobenius endomorphism, and some non-zero finite R-module has finite flat dimension or finite inject…
Quasi-complete intersection homomorphisms
Luchezar L. Avramov, Inês B. Henriques, Liana M. Şega
Extending a notion defined for surjective maps by Blanco, Majadas, and Rodicio, we introduce and study a class of homomorphisms of commutative noetherian rings, which strictly cont…
Short Koszul modules
Luchezar L. Avramov, Srikanth B. Iyengar, Liana M. Sega
This article is concerned with graded modules M with linear resolutions over a standard graded algebra R. It is proved that if such an M has Hilbert series of the form $ps…
Cohomology over complete intersections via exterior algebras
Luchezar L. Avramov, Srikanth B. Iyengar
A general method for establishing results over a commutative complete intersection local ring by passing to differential graded modules over a graded exterior algebra is described.…
Detecting flatness over smooth bases
Luchezar L. Avramov, Srikanth B. Iyengar
Given an essentially finite type morphism of schemes f: X --> Y and a positive integer d, let f^{d}: X^{d} --> Y denote the natural map from the d-fold fiber product, X^{d}, of X o…
Reflexivity and rigidity for complexes, II: Schemes
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman
We prove basic facts about reflexivity in derived categories over noetherian schemes; and about related notions such as semidualizing complexes, invertible complexes, and Gorenstei…