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math.CO2020
Combinatorial invariants for nets of conics in
Michel Lavrauw, Tomasz Popiel, John Sheekey
The problem of classifying linear systems of conics in projective planes dates back at least to Jordan, who classified pencils (one-dimensional systems) of conics over …
math.CO2020★ 5 cited
Nets of conics of rank one in PG(2,q), q odd
Michel Lavrauw, Tomasz Popiel, John Sheekey
We classify nets of conics in Desarguesian projective planes over finite fields of odd order, namely, two-dimensional linear systems of conics containing a repeated line. Our proof…