10 citations · 10 across the 2 of their papers we have counts for
6 papers
Set-Theoretically Perfect Ideals and Residual Intersections
S. Hamid Hassanzadeh
This paper studies algebraic residual intersections in rings with Serre's condition \( S_{s} \). It demonstrates that residual intersections admit free approaches i.e. perfect subi…
A genus explanation of the Buchsbaum-Rim multiplicity
Vinicius Bouça, Thiago Fiel, Seyed Hamid Hassanzadeh +1
We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-Čech spectral sequence. We show that the Buchsbaum-Rim multiplicity is the arithmetic genus (Euler characterist…
Degree of Rational Maps versus Syzygies
M. Chardin, S. H. Hassanzadeh, A. Simis
One proves a far-reaching upper bound for the degree of a generically finite rational map between projective varieties over a base field of arbitrary characteristic. The bound is e…
Residual Intersections are Koszul-Fitting ideals
Vinicius Bouça, Seyed Hamid Hassanzadeh
One describes generators of disguised residual intersections in any commutative Noetherian rings. It is shown that, over Cohen-Macaulay rings, the disguised residual intersections…
Effective criteria for bigraded birational maps
Nicolás Botbol, Laurent Busé, Marc Chardin +3
In this paper, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate biration…
Linkage of modules over Cohen-Macaulay rings
Mohammad T. Dibaei, Mohsen Gheibi, S. H. Hassanzadeh +1
Inspired by the works in linkage theory of ideals, the concept of sliding depth of extension modules is defined to prove the Cohen-Macaulyness of linked module if the base ring is…