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 2025Show all

19 papers · 1 filter

math.AC2025

Quasi-Hilbert rings and Ratliff-Rush filtrations

Tony J. Puthenpurakal, Samarendra Sahoo

Let $A$ be a non Gorenstein Cohen Macaulay ring of dimension $d \geq 1$ , $I$ an ideal of $A$ , and suppose $ω_{A}$ is a canonical $A$ -module. Set $$r(I,ω_A) = \bigcup_{n \geq 0} (I^{n+…

math.AC2025

Top dickson class and annihilators of cohomology over invariant rings

Tony J. Puthenpurakal

Let $F_{q}$ denote the finite field with $q = p^{r}$ elements. Let $V$ be a finite dimensional vector space of dimension $d$ over $F_{q}$ and let $G \subseteq G L (V)$ be…

math.AC2025

Fixed points and grade of Hilbert polynomial of invariant rings

Tony J. Puthenpurakal

Let $k$ be a field and let $V$ be a $k$ -vector space of dimension $d$ . Let $G \subseteq G L (V)$ be a finite group. Let $r = dim_{k} (V^{*})^{G}$ . Assume $r \geq 1$ . Let $R = k [V]^{G}$ be t…

math.AC2025

Obstructions to curvature of modules over Cohen-Macaulay rings

Tony J. Puthenpurakal

Let $(A, m)$ be a Cohen-Macaulay local ring with residue field $k$ . If $M$ is a finitely generated $A$ -module then set $curv (M) = lim sup_{n} n β_{n}^{A} (M)$ . We…

math.AC2025

André-Quillen homology of Rees algebras and extended Rees algebras

Tony J. Puthenpurakal

Let $(A, m)$ be an excellent local complete intersection ring and let $I = (a_{1}, \dots, a_{r})$ be an ideal of positive height. Let $R (I) = A [I t]$ be the Rees al…

math.AC2025

Bounds on Bass numbers of local cohomology modules

Sayed Sadiqul Islam, Tony J. Puthenpurakal

Let $R = K [x_{1}, \dots, x_{m}]$ where $K$ is an uncountable algebraically closed field of characteristic $0$ . For a prime ideal $P$ of $R$ , let $μ_{j} (P, M)$ be the $j$ -th Bass number of an…