Jyoti Singh

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math.AC2026

Asymptotic behaviour of bigraded components of local cohomology modules

Rajsekhar Bhattacharyya, Tony J. Puthenpurakal, Sudeshna Roy +1

Let $C$ be a commutative Noetherian ring containing a field $K$ of characteristic zero. Let $R = C [X_{1}, \dots, X_{n}, Y_{1}, \dots, Y_{m}]$ be a polynomial ring over $C$ with $\mathrm{bi…

math.AC2019

On derived functors of graded local cohomology modules-II

Tony J. Puthenpurakal, Sudeshna Roy, Jyoti Singh

Let $R = K [X_{1}, \dots, X_{n}]$ where $K$ is a field of characteristic zero, and let $A_{n} (K)$ be the $n^{t h}$ Weyl algebra over $K$ . We give standard grading on $R$ and $A_{n} (K)$ . Let $I…