149 citations · 160 across the 17 of their papers we have counts for
20 papers
Asymptotic behaviour of bigraded components of local cohomology modules
Rajsekhar Bhattacharyya, Tony J. Puthenpurakal, Sudeshna Roy +1
Let be a commutative Noetherian ring containing a field of characteristic zero. Let be a polynomial ring over with $\mathrm{bi…
On local cohomology modules over ramified regular local rings
Rajsekhar Bhattacharyya
In this paper, we show examples of local cohomology modules over ramified regular local ring, having finite set of associated primes. In doing so we consider our ramified regular l…
The second vanishing theorem in Stanley-Reisner ring with topological interpretation
Rajsekhar Bhattacharyya
For regular local ring, the ``second vanishing theorem'' or ``SVT'' of local cohomology has been proved in several cases. In this paper, we explore the result similar to that of th…
Eisenstein extension, connectedness and the second vanishing theorem
Rajsekhar Bhattacharyya
In this paper, at first, we show that for a ramified regular local ring , which is an Eisenstein extension of an unramified regular local ring , when an ideal of is e…
When almost Cohen-Macaulay algebras map into big Cohen-Macaulay modules
Rajsekhar Bhattacharyya
In this paper, we show that almost Cohen-Macaulay algebras are solid and in this respect, we seek for some special situation when (a) an almost Cohen-Macaulay algebra will be phant…
Existence of almost Cohen-Macaulay algebras implies the existence of big Cohen-Macaulay algebras
Rajsekhar Bhattacharyya
In \cite{AB}, the dagger closure is extended over finitely generated modules over Noetherian local domain $(R,\fm)$ and it is proved to be a Dietz closure. In this short note we sh…