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 2017Show all

9 papers · 1 filter

math.AC2017

Graded components of local cohomology modules over invariant rings-II

Tony J. Puthenpurakal

Let $A$ be a regular ring containing a field $K$ of characteristic zero and let $R = A [X_{1}, \dots, X_{m}]$ . Consider $R$ as standard graded with $° A = 0$ and $° X_{i} = 1$ for all $i$ .…

math.AC2017

Graded components of local cohomology modules of invariant rings

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a regular domain containing a field $K$ of characteristic zero, $G$ be a finite subgroup of the group of automorphisms of $A$ and $B = A^{G}$ be the ring of invariants of $G…

math.AC2017

On asymptotic depth of integral closure filtration and an application

Tony J. Puthenpurakal

Let $(A, m)$ be an analytically unramified formally equidimensional Noetherian local ring with $d e pt h A \geq 2$ . Let $I$ be an $m$ -primary ideal and set $I…

math.AC2017

Asymptotic associate primes

Dipankar Ghosh, Provanjan Mallick, Tony J. Puthenpurakal

We investigate three cases regarding asymptotic associate primes. First, assume $(A, m)$ is an excellent Cohen-Macaulay (CM) non-regular local ring, and $ M = \operator…

math.AC2017

On $G$ -invariant Gorenstein ideals

Tony J. Puthenpurakal

Let $k$ be a field and $G \subseteq G l_{n} (k)$ be a finite group with $∣ G ∣^{- 1} \in k$ . Let $G$ act linearly on $A = k [X_{1}, \dots, X_{n}]$ and let $A^{G}$ be the ring of invariant's. Su…

math.AC2017

Graded components of Local cohomology modules II

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a commutative Noetherian ring containing a field of characteristic zero. Let $R = A [X_{1}, \dots, X_{m}]$ be a polynomial ring and $A_m(A) = A \langle X_1, \ldots, X_m, \par…

Graded components of local cohomology modules over invariant rings-II

Graded components of local cohomology modules of invariant rings

On asymptotic depth of integral closure filtration and an application

Asymptotic associate primes

On G-invariant Gorenstein ideals

Graded components of Local cohomology modules II

On $G$ -invariant Gorenstein ideals