On the parameter spaces of some Böröczky configurations.

Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here, we describe parameter families of Böröczky configurations of 1 3 , 1 4 , 1 6 , 1 8 and 2 4 lines and investigate rational points of these parameter spaces. [ABSTRACT FROM AUTHOR]