Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Sengupta, Indranath"'
This paper investigates the projective closure of simplicial affine semigroups in $\mathbb{N}^{d}$, $d \geq 2$. We present a characterization of the Cohen-Macaulay property for the projective closure of these semigroups using Gr\"{o}bner bases. Addit
Externí odkaz:
http://arxiv.org/abs/2405.11319
In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ideal is determinantal. We also give a sufficient condition on the defini
Externí odkaz:
http://arxiv.org/abs/2305.08612
If the Krull dimension of the semigroup ring is greater than one, then affine semigroups of maximal projective dimension ($\mathrm{MPD}$) are not Cohen-Macaulay, but they may be Buchsbaum. We give a necessary and sufficient condition for simplicial $
Externí odkaz:
http://arxiv.org/abs/2304.14806
The invariant $\mathrm{v}$-number was introduced very recently in the study of Reed-Muller-type codes. Jaramillo and Villarreal (J Combin. Theory Ser. A 177:105310, 2021) initiated the study of the $\mathrm{v}$-number of edge ideals. Inspired by thei
Externí odkaz:
http://arxiv.org/abs/2304.06416
Our aim in this paper is to compute the Poincar\'{e} series of the derivation module of the projective closure of certain affine monomial curves.
Externí odkaz:
http://arxiv.org/abs/2212.12107
Autor:
Saha, Kamalesh, Sengupta, Indranath
Conca and Varbaro (Invent. Math. 221 (2020), no. 3) showed the equality of depth of a graded ideal and its initial ideal in a polynomial ring when the initial ideal is square-free. In this paper, we give some beautiful applications of this fact in th
Externí odkaz:
http://arxiv.org/abs/2212.05708
Let $n_0, n_1, \ldots, n_p$ be a sequence of positive integers such that $n_0 < n_1 < \cdots < n_p$ and $\mathrm{gcd}(n_0,n_1, \ldots,n_p) = 1$. Let $S = \langle (0,n_p), (n_0,n_p-n_0),\ldots,(n_{p-1},n_p-n_{p-1}), (n_p,0) \rangle$ be an affine semig
Externí odkaz:
http://arxiv.org/abs/2210.12143
In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gr\"{o}bner basis. We generalize the concept of homogeneous numerical semigroup for the si
Externí odkaz:
http://arxiv.org/abs/2210.07520
Let $a$ and $d$ be two linearly independent vectors in $\mathbb{N}^2$, over the field of rational numbers. For a positive integer $k \geq 2$, consider the sequence $a, a+d, \ldots, a+kd$ such that the affine semigroup $S_{a,d,k} = \langle a, a+d, \ld
Externí odkaz:
http://arxiv.org/abs/2207.02675
Autor:
Saha, Kamalesh, Sengupta, Indranath
Publikováno v:
In Journal of Algebra 15 November 2024 658:533-555
