S. Manna

activity

20212026

collaborators

4 papers

math.AG2026

Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions

Subrata Manna

We study the functional code $C_{d} (X)$ , introduced by G. Lachaud in 1996, in the case where $X$ is a rank $n$ degenerate Hermitian variety $P U_{n - 1}$ i…

math.AG2025

Maximum number of points of intersection of a non-degenerate Hermitian variety and a cubic hypersurface

Subrata Manna

Edoukou, Ling and Xing in 2010, conjectured that in \mathbb{P}^n(\mathbb{F}_{q^2}), n \geq 3, the maximum number of common points of a non-degenerate Hermitian variety \mathcal{U}_…

math.AG2024

Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold

Mrinmoy Datta, Subrata Manna

It was conjectured by Edoukou in 2008 that a non-degenerate Hermitian threefold in $P^{4} (F_{q^{2}})$ has at most $d (q^{5} + q^{2}) + q^{3} + 1$ points in common with a thre…

math.CO2021

A generalization of Gerzon's bound on spherical s-distance sets

Mrinmoy Datta, Subrata Manna

We Use the method of linearly independent polynomials to derive an upper bound for the cardinality of a spherical s-distance set F where the sum of distinct inner products of any t…

Functional codes arising from rank n Hermitian varieties and hypersurfaces in low dimensions

Maximum number of points of intersection of a non-degenerate Hermitian variety and a cubic hypersurface

Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold

A generalization of Gerzon's bound on spherical s-distance sets

Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions