Indranath Sengupta

Criterion for Complete Intersection of certain Monomial Curves

Let k be a field and m0, …, me−1 (e ≥ 3) be a sequence of positive integers with gcd(m0, …, me−1) = 1. Let \( \mathcal{C} \) be the affine monomial curve in the e-space \( \mathbb{A}_{k}^{e} \) defined parametrically by \({T^{{m_0}}}, \ldots ,{X_{e - 1}} = {T^{{m_{e - 1}}}}\). In this article, we assume that m0, …, me−1 form a minimal arithmetic sequence and find some criterion for complete intersection of C.

Betti numbers of Bresinsky’s curves in 𝔸4

Bresinsky defined a class of monomial curves in 𝔸4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same...

Quadrics defined by skew-symmetric matrices

In this paper we propose a model for computing a minimal free resolution for ideals of the form

Minimal graded free resolutions for monomial curves defined by arithmetic sequences

I_{1}(X_{n}Y_{n})

Minimal free resolutions for certain affine monomial curve

, where

Primality of Certain Determinantal Ideals

X_{n}

The Rees Algebra for Certain Monomial Curves

is an

R-HASH :H ASH FUNCTION USING RANDOM QUADRATIC POLYNOMIALS OVER GF(2)

n\times n

On the smoothness of blowups for certain monomial curves

skew-symmetric matrix with indeterminate entries

Unboundedness of Betti numbers of certain monomial curves in

x_{ij}