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Star configuration points and generic plane curves

2010/01/25 by Carlini, Enrico, Van Tuyl, Adam
#14H50 #14M05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1001.4504

Abstract

Consider l lines in P2 such that no three lines meet in a point. Let X(l) denote all points of intersections of these l lines. We describe all pairs (d,l) such that generic degree d curve in P2 contains a X(l).

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