Tony J. Puthenpurakal

activity

20042026

most citedHilbert polynomials and powers of ideals

41 citations · 103 across the 121 of their papers we have counts for

collaborators

Showing 2024 · math.ACShow all

18 papers · 2 filters

math.AC2024

Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be a complete intersection ring of codimension $c \geq 2$ and dimension $d \geq 1$ . Let $M$ be a finitely generated maximal Cohen-Macaulay $A$ -module. Set $M_i…

math.AC2024

Graded components of local cohomology modules over polynomial rings

Tony J. Puthenpurakal

Let $K$ be a field and let $R = K [X_{1}, \dots, X_{m}]$ with $m \geq 2$ . Give $R$ the standard grading. Let $I$ be a homogeneous ideal of height $g$ . Assume $1 \leq g \leq m - 1$ . Supp…

math.AC2024

Resolutions of Koszul complexes and applications

Tony J. Puthenpurakal

In this paper we consider projective and injective resolutions of Koszul complexes and give several applications to the study of Koszul homology modules.

math.AC2024

Local cohomology of ideals and the $R_{n}$ condition of Serre

Tony J. Puthenpurakal

Let $R$ be a regular ring of dimension $d$ containing a field $K$ of characteristic zero. If $E$ is an $R$ -module let $A s s^{i} E = {Q \in A ss E ∣ h e i g h tQ = i}$ . Let $P$ b…

math.AC2024

Resolutions over strict complete intersections

Tony J. Puthenpurakal

Let $(Q, n)$ be a regular local ring and let $f_{1}, \dots, f_{c} \in n^{2}$ be a $Q$ -regular sequence. Set $(A, \mathfrak{m}) = (Q/(\mathbf{f}), \mathfrak{n}/(\ma…

math.AC2024

Regularity of Koszul modules

Tony J. Puthenpurakal

Let $K$ be a field and let $S = K [X_{1}, \dots, X_{n}]$ . Let $I$ be a graded ideal in $S$ and let $M$ be a finitely generated graded $S$ -module. We give upper bounds on the regularity…

Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules

Graded components of local cohomology modules over polynomial rings

Resolutions of Koszul complexes and applications

Local cohomology of ideals and the Rn​ condition of Serre

Resolutions over strict complete intersections

Regularity of Koszul modules

Local cohomology of ideals and the $R_{n}$ condition of Serre