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

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Showing 2007Show all

3 papers · 1 filter

math.AC2007★ 1 cited

An elementary proof of Grothendieck's Non-vanishing Theorem

Tony J. Puthenpurakal

We give an elementary proof of Grothendieck's non-vanishing Theorem: For a finitely generated non-zero module $M$ over a Noetherian local ring $A$ with maximal ideal $\m$, the loca…

math.AC2007★ 41 cited

Hilbert polynomials and powers of ideals

Juergen Herzog, Tony J. Puthenpurakal, J. K. Verma

The growth of Hilbert coefficients for powers of ideals are studied. For a graded ideal $I$ in the polynomial ring $S = K [x_{1}, ..., x_{n}]$ and a finitely generated graded $S$ -module, th…

math.AC2007★ 1 cited

On the Upper bound of the Multiplicity Conjecture

Tony J. Puthenpurakal

Let $A = K [X_{1}, ..., X_{n}]$ and let $I$ be a graded ideal in $A$ . We show that the upper bound of Multiplicity conjecture of Herzog, Huneke and Srinivasan holds asymptotically (i.e.,…