Adjoints and Max Noether's Fundamentalsatz

Mathematics – Algebraic Geometry

Scientific paper

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11 pages. To appear in proceedings of Abhyankar's 70'th birthday

Scientific paper

We give an exposition of the theory of adjoints and conductors for curves on
nonsingular surfaces, emphasizing the case of plane curves, for which the
presentation is particularly elementary. This is closely related to Max
Noether's ``AF+BG'' theorem, which is proved for curves with arbitrary multiple
components.

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