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- W2952176304 abstract "We show that the size of the intersection of a Hermitian variety in $PG(n,q^2)$, and any set satisfying an $r$-dimensional-subspace intersection property, is congruent to 1 modulo a power of $p$. In particular, in the case where $n=2$, if the two sets are a Hermitian unital and any other unital, the size of the intersection is congruent to 1 modulo $sqrt q$ or modulo $sqrt{pq}$. If the second unital is a Buekenhout-Metz unital, we show that the size is congruent to 1 modulo $q$." @default.
- W2952176304 created "2019-06-27" @default.
- W2952176304 creator A5028729344 @default.
- W2952176304 date "2011-07-09" @default.
- W2952176304 modified "2023-09-27" @default.
- W2952176304 title "The sizes of the intersection of two unitals in PG$(2,q^2)$" @default.
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