3 papers
math.AG2025
Brauer groups of certain affine cubic surfaces
Abdulmuhsin Alfaraj
We study the Brauer groups of affine surfaces that are complements of singular hyperplane sections of smooth cubic surfaces over a field of characteristic . We determine the…
math.AG2025
Brauer groups of conic bundles over elliptic curves
Abdulmuhsin Alfaraj
We study the Brauer groups of regular conic bundles over elliptic curves defined over a number field . We explicitly compute the Brauer group of the conic bundle when the singul…
math.NT2025
Manin's Conjecture for Equivariant compactifications of forms of
Abdulmuhsin Alfaraj
We prove the Batyrev-Manin conjecture for smooth equivariant compactifications of forms of over a global function field , assuming some conditions on the bounda…