4 papers
Counting Rational Points on Danielewski and Double Danielewski Surfaces over Finite Fields
Sakshi Gupta, Anit Kuckian, Indranath Sengupta
Let $\Fq$ be the finite field with elements. We study the number of $\Fq$-rational points on Danielewski and double Danielewski surfaces. For Danielewski surfaces, the point co…
Tangent Cones of Concatenated Numerical Semigroups
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concat…
Cohen-Macaulay Property of Binomial Edge Ideals with Girth of Graphs
Kamalesh Saha, Indranath Sengupta
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.…
Projective Closure of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
This paper investigates the projective closure of simplicial affine semigroups in , . We present a characterization of the Cohen-Macaulay property for the…