Parangama Sarkar

activity

20162021

collaborators

5 papers

math.AC2021

Multiplicities and Mixed Multiplicities of arbitrary Filtrations

Steven Dale Cutkosky, Parangama Sarkar

We develop a theory of multiplicities and mixed multiplicities of filtrations, extending the theory for filtrations of $m$ -primary ideals to arbitrary (not necessarily Noetherian)…

math.AC2018

Frobenius Betti numbers and syzygies of finite length modules

Ian M. Aberbach, Parangama Sarkar

Let $(R, m)$ be a local (Noetherian) ring of dimension $d$ and $M$ a finite length $R$ -module with free resolution $G_{∙}$ . De Stefani, Huneke, and Núñez-Betancourt ex…

math.AC2018

Mixed Multiplicities of Filtrations

Steven Dale Cutkosky, Parangama Sarkar, Hema Srinivasan

In this paper we define and explore properties of mixed multiplicities of (not necessarily Noetherian) filtrations of $m_{R}$ -primary ideals in a Noetherian local ring $R$ , generaliz…

math.AC2016

Multigraded regularity, reduction vectors and postulation vectors

Parangama Sarkar

We relate the set of complete reduction vectors of a $Z^{s}$ -graded admissible filtration of ideals $F$ with the set of multigraded regularities of $G(\mathcal{F})…

math.AC2016

Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications

Shreedevi K. Masuti, Parangama Sarkar, J. K. Verma

In this expository paper we present proofs of Grothendieck-Serre Formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we de…