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math.AG2025
Blocking sets from a union of plane curves
Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip
Motivated by a question of Erdős on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to construc…
math.CO2025
Cliques in Paley graphs of square order and in Peisert graphs
Andries E. Brouwer, Sergey Goryainov, Leonid Shalaginov +1
We study maximal cliques in the collinearity graphs of Desarguesian nets, give some structural results and some numerical information. In particular, we show for Desarguesian nets…
math.AG2025
Hypersurfaces passing through the Galois orbit of a point
Shamil Asgarli, Jonathan Love, Chi Hoi Yip
Asgarli, Ghioca, and Reichstein proved that if is a field with , then for any positive integers and , and separable field extension with degree $m=\binom{n+…