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A VARIANT OF A BASE-POINT-FREE PENCIL TRICK AND LINEAR SYSTEMS ON A PLANE CURVE

Masaaki Homma, 正明 本間, Akira Ohbuchi, 朗 大渕

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Abstract

We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proof, and apply them to the study of special divisors on a smooth plane curve involving a theorem of Max Noether.

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We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proof, and apply them to the study of special divisors on a smooth plane curve involving a theorem of Max Noether.

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Available abstract

We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proof, and apply them to the study of special divisors on a smooth plane curve involving a theorem of Max Noether.

Key concepts: Pencil (optics), Mathematics, Plane curve, Noether's theorem, Base (topology), Quartic plane curve, Plane (geometry), Point (geometry)

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