R. Bhattacharyya

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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.AC2024

Eisenstein extension, connectedness and the second vanishing theorem

Rajsekhar Bhattacharyya

In this paper, at first, we show that for a ramified regular local ring $S$ , which is an Eisenstein extension of an unramified regular local ring $R$ , when an ideal $I$ of $S$ is e…