S. Ghorpade

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20012021

most citedÉtale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields

39 citations · 311 across the 30 of their papers we have counts for

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Showing 2018 · math.AGShow all

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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

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…