Sudeshna Roy

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20152019

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math.AC2018

On the defining equations of Rees algebra of a height two perfect ideal using the theory of $D$ -modules

Sudeshna Roy

Let $k$ be a field of characteristic zero, and $R = k [x_{1}, \dots, x_{d}]$ with $d \geq 3$ be a polynomial ring in $d$ variables. Let $\m=(x_1, \ldots, x_d)$ be the homogeneous maximal…

math.AC2018

Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals

Kriti Goel, Sudeshna Roy, J. K. Verma

Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for $N^{s}$ -graded good filtrations. These analogues yield bounds on joint reduction vectors for a fa…

math.AC2017

Graded components of local cohomology modules of invariant rings

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a regular domain containing a field $K$ of characteristic zero, $G$ be a finite subgroup of the group of automorphisms of $A$ and $B = A^{G}$ be the ring of invariants of $G…

On the defining equations of Rees algebra of a height two perfect ideal using the theory of D-modules

Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals

Graded components of local cohomology modules of invariant rings

On the defining equations of Rees algebra of a height two perfect ideal using the theory of $D$ -modules