The Tropical Three Conics Theorem

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Description
"In classical algebraic geometry, the three conics theorem states: given three projective conics that pass through two given points, the three lines joining the other two intersections of each pair of conics all intersect at a point. We identify and prove a tropical three conics theorem when the conics are smooth and intersections are transverse, developing a geometric classification of when five points on a conic uniquely determine it in the process. We then relax our assumptions to allow for non-smooth conics or non-transverse intersections, proving the theorem in more general cases. In particular, one of these general cases implies a tropical version of Pappus' hexagon theorem."

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ID Label Size Mimetype Created
OBJ OBJ datastream * 868.34 KiB application/pdf 2021-05-24
TN TN 3.15 KiB image/jpeg 2021-05-24
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