Cayley-Bacharach theorems and conjectures

  title={Cayley-Bacharach theorems and conjectures},
  author={D. Eisenbud and M. Green and Joe W. Harris},
  journal={Bulletin of the American Mathematical Society},
A theorem of Pappus of Alexandria, proved in the fourth century A.D., began a long development in algebraic geometry. In its changing expressions one can see reflected the changing concerns of the field, from synthetic geometry to projective plane curves to Riemann surfaces to the modern development of schemes and duality. We survey this development historically and use it to motivate a brief treatment of a part of duality theory. We then explain one of the modern developments arising from it… Expand

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