Rakesh B. T. Reddy

activity

20132025

H_{(f)}^{1} (R)

where

V (f)

is a smooth hypersurface in

P^{n}

1 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.AC2025

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules

Tony J. Puthenpurakal, Rakesh B. T. Reddy

Let $K$ be a field of characteristic zero. Let $R = K [X_{0}, X_{1}, \dots, X_{n}]$ be standard graded. Let $A_{n + 1} (K)$ be the $(n + 1)^{t h}$ Weyl algebra over $K$ . Let $I$ be a homogeneo…

math.AC2015

Relative Hilbert co-efficients

Amir Mafi, Tony J. Puthenpurakal, Rakesh B. T. Reddy +1

Let $(A,\m)$ be a \CM \ local ring of dimension $d$ and let $I \subseteq J$ be two $\m$-primary ideals with $I$ a reduction of $J$ . For $i = 0, \dots, d$ let $e_{i}^{J} (A)$ ( $e_{i}^{I} (A)$ )…

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★ 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 a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules

Relative Hilbert co-efficients

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

De Rahm Cohomology of Local Cohomology modules II

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