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Название: Geometric theory of algebraic space curves (Lecture notes in mathematics ; 423)
Авторы: Abhyankar S., Sathaye A.
The original main part of this book was just a sequel to the
Montreal Notes [ 3 3- The main part was the proof to the Theorem
(36.9), namely that "All irreducible nonsingular space curves of
degree at most five and genus at most one over an algebraically closed
ground field are complete intersections." As such, the TheoremAwas
completely proved in 1971. Two versions of the proof have been written
and circulated, but none published. We intended to give a completely
self-contained treatment of the Theorem, and in the process, the size
of the proof, or rather, the preparatory material, enlarged; while the
proof continued to become clearer and somewhat sharper. The present
version was finally started in June 1973, and we finally decided that
it had to be a book.