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Invariants of Curves in RP2 and R2

Student-Run Geometry/Topology Seminar

Speaker: Ekaterina Fuchs, UCD
Location: 2112 MSB
Start time: Thu, May 24 2007, 11:00AM

I will be speaking about Abby's Paper "Invariants of Curves in RP2 and R2". There is an elegant relation among the double tangent lines, crossings, inflection points, and cusps of a singular curve in the plane. We give a new generalization to singular curves in RP. We note that the quantities in the formula are naturally dual to each other in RP2 and we give a new dual formula. This paper is something of a sequel to the talk I gave last time I spoke in the seminar.