M. Datta

activity

20152024

most citedNumber of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields

14 citations · 40 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.AG2018

Maximum number of $F_{q}$ -rational points on nonsingular threefolds in $P^{4}$

Mrinmoy Datta

We determine the maximum number of $F_{q}$ -rational points that a nonsingular threefold of degree $d$ in a projective space of dimension $4$ defined over $F_{q}$ may…

math.AG2018★ 1 cited

A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields

Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade

We give a complete conjectural formula for the number $e_{r} (d, m)$ of maximum possible $F q$ -rational points on a projective algebraic variety defined by $r$ linearly indep…

math.AG2018

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

Peter Beelen, Mrinmoy Datta

In 1991 Sørensen proposed a conjecture for the maximum number of points on the intersection of a surface of degree $d$ and a non-degenerate Hermitian surface in $\PP^3(\Fqt)$. The…

math.AG2018

Vanishing ideals of projective spaces over finite fields and a projective footprint bound

Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade

We consider the vanishing ideal of a projective space over a finite field. An explicit set of generators for this ideal has been given by Mercier and Rolland. We show that these ge…

Maximum number of Fq​-rational points on nonsingular threefolds in P4

A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields

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

Vanishing ideals of projective spaces over finite fields and a projective footprint bound

Maximum number of $F_{q}$ -rational points on nonsingular threefolds in $P^{4}$