Tony J. Puthenpurakal

activity

20042026

most citedHilbert polynomials and powers of ideals

41 citations · 103 across the 121 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.AC2019

Localization of complete intersections

Tony J. Puthenpurakal

Let $(A, m)$ be an abstract complete intersection and let $P$ be a prime ideal of $A$ . In [1] Avramov proved that $A_{P}$ is an abstract complete intersection. In this pape…

math.AC2019

Bass and Betti Numbers of $A / I^{n} .$

Ganesh S. Kadu, Tony J. Puthenpurakal

Let $(A, \m, k)$ be a Gorenstein local ring of dimension $d \geq 1.$ Let $I$ be an ideal of $A$ with $\htt(I) \geq d-1.$ We prove that the numerical function \[ n \mapsto \ell(\ext…

math.AC2019

Symbolic powers of monomial ideals

Tony J. Puthenpurakal

Let $A = K [X_{1}, \dots, X_{d}]$ and let $I$ , $J$ be monomial ideals in $A$ . Let $I_{n} (J) = (I^{n} : J^{\infty})$ be the $n^{t h}$ symbolic power of $I$ \wrt \ $J$ . It is easy to see th…

math.AC2019

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

Tony J. Puthenpurakal

In this paper we determine the possible Hilbert functions of a Cohen-Macaulay local ring of dimension $d$ , multiplicity $e$ and first Hilbert coefficient $e_{1}$ in the case $e_1 = e…

math.AC2019★ 10 cited

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…

Localization of complete intersections

Bass and Betti Numbers of A/In.

Symbolic powers of monomial ideals

Cohen-Macaulay local rings with e1​=e+2

On derived functors of graded local cohomology modules-II

Bass and Betti Numbers of $A / I^{n} .$

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