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 2013 · math.ACShow all

12 papers · 2 filters

math.AC2013

On injective resolutions of local cohomology modules

Tony J. Puthenpurakal

Let $K$ be a field of characteristic zero and let $R = K [X_{1}, \dots, X_{n}]$ . Let $I$ be an ideal in $R$ and let $M = H_{I}^{i} (R)$ be the $i^{t h}$ -local cohomology module of $R$ with res…

math.AC2013

On the Lowey length of modules of finite projective dimension

Tony J. Puthenpurakal

Let $(A, m)$ be a local Gorenstein local ring and let $M$ be an $A$ module of finite length and finite projective dimension. We prove that the Lowey length of $M$ is grea…

math.AC2013★ 1 cited

de Rham cohomology of $H_{(f)}^{1} (R)$ where $V (f)$ is a smooth hypersurface in $P^{n}$

Tony J. Puthenpurakal, Rakesh B. T. Reddy

Let $K$ be a field of characteristic zero, $R = K [X_{1}, \dots, X_{n}]$ . Let $A_{n} (K) = K < X_{1}, \dots, X_{n}, \partial_{1}, \dots, \partial_{n} >$ be the $n^{t h}$ Weyl algebra over $K$ . We consi…

math.AC2013★ 4 cited

Local cohomology modules of invariant rings

Tony J. Puthenpurakal

Let $K$ be a field and let $R$ be a regular domain containing $K$ . Let $G$ be a finite subgroup of the group of automorphisms of $R$ . We assume that $∣ G ∣$ is invertible in $K$ . Let…

math.AC2013

Bockstein cohomology of associated graded rings

Tony J. Puthenpurakal

Let $(A, m)$ be a Cohen-Macaulay local ring of dimension $d$ and let $I$ be an $m$ -primary ideal. Let $G$ be the associated graded ring of $A$ \wrt \ $I$ and l…

math.AC2013★ 1 cited

De Rahm Cohomology of Local Cohomology modules II

Tony J. Puthenpurakal, Rakesh B. T. Reddy

Let $K$ be an algebraically closed field of characteristic zero and let $R = K [X_{1}, \dots, X_{n}]$ . Let $I$ be an ideal in $R$ . Let $A_{n} (K)$ be the $n^{t h}$ Weyl algebra over $K$ . By…

On injective resolutions of local cohomology modules

On the Lowey length of modules of finite projective dimension

de Rham cohomology of H(f)1​(R) where V(f) is a smooth hypersurface in Pn

Local cohomology modules of invariant rings

Bockstein cohomology of associated graded rings

De Rahm Cohomology of Local Cohomology modules II

de Rham cohomology of $H_{(f)}^{1} (R)$ where $V (f)$ is a smooth hypersurface in $P^{n}$