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math.AG2026
Functional codes arising from rank Hermitian varieties and hypersurfaces in low dimensions
Subrata Manna
We study the functional code , introduced by G. Lachaud in 1996, in the case where is a rank degenerate Hermitian variety 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 has at most points in common with a thre…