Counting the hyperplane sections with fixed invariants of a plane quintic

Details Counting the hyperplane sections with fixed invariants of a plane quintic Counting the hyperplane sections with fixed invariants of a plane quintic

2006-08-18

arxiv.org/abs/math/0608463v2

Adv. Geom. 8 (2008), no. 4, 531-549

Mathematics

Algebraic Geometry

18 pages, 4 figures, references added

Scientific paper

We use three different methods to count the number of lines in the plane
whose intersection with a fixed general quintic has fixed cross-ratios. We
compare and contrast these methods, shedding light on some classical ideas
which underly modern techniques.

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