Ankit Mishra

activity

20202023

collaborators

5 papers

math.AC2023

A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity-II

Ankit Mishra, Tony J. Puthenpurakal

Let $(A, m)$ be a \CM\ local ring, then notion of $T$ -split sequence was introduced in part-1 of this paper for $m$ -adic filtration with the help of numerical…

math.AC2023

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II

Ankit Mishra, Tony J. Puthenpurakal

If $(A, m)$ is a hypersurface ring of dimension $d$ with $e (A) = 3$ . Let $M$ be an MCM $A$ -module with $μ (M) = 4$ then we prove that $\depth{G(M)}\geq d-3$.

math.AC2022

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings

Ankit Mishra, Tony J. Puthenpurakal

Let $A = Q / (f)$ where $(Q, n)$ be a complete regular local ring of dimension $d + 1$ , $f \in n^{i} ∖ n^{i + 1}$ for some $i \geq 2$ and $M$ an MCM $A -$ m…

math.AC2021

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings

Ankit Mishra, Tony J. Puthenpurakal

Let $(A, m)$ be a hypersurface ring with dimension $d$ , and $M$ a MCM $A -$ module with red $(M) \leq 2$ and $μ (M) = 2$ or $3$ then we have proved that depth $G(M)\geq d-μ(M)+1…

math.AC2020

Cohen-Macaulay local rings with $e_{2} = e_{1} - e + 1$

Ankit Mishra, Tony J. Puthenpurakal

In this paper we study Cohen-Macaulay local rings of dimension $d$ , multiplicity $e$ and second Hilbert coefficient $e_{2}$ in the case $e_{2} = e_{1} - e + 1$ . Let $h = μ(\mathfrak{m})…

A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity-II

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings

Cohen-Macaulay local rings with e2​=e1​−e+1

Cohen-Macaulay local rings with $e_{2} = e_{1} - e + 1$