M. Datta

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math.AG2024

Intersection of irreducible curves and the Hermitian curve

Peter Beelen, Mrinmoy Datta, Maria Montanucci +1

Let $H_{q}$ denote the Hermitian curve in $P^{2}$ over $F_{q^{2}}$ and $C_{d}$ be an irreducible plane projective curve in $P^{2}$ also defined…

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…