English

Adjoints and Max Noether's Fundamentalsatz

Algebraic Geometry 2007-05-23 v1 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0209203,
  title  = {Adjoints and Max Noether's Fundamentalsatz},
  author = {William Fulton},
  journal= {arXiv preprint arXiv:math/0209203},
  year   = {2007}
}

Comments

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