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Ueber die algebraischen Functionen und ihre Anwendung in der Geometrie. - [THE BRILL-NOETHER THEORY]
Leipzig, B. G. Teubner, 1874. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 7., 1874. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Title-page and index-page with nicks and repairs. Otherwise fine and clean. Pp. 269-316. [Entire volume: IV, 638 pp.].
First printing of this important paper in which the Brill-Noether theory was presented for the first time. In the theory of algebraic curves, Brill-Noether theory, is the study of special divisors, certain divisors on a curve C that determine more compatible functions than would be predicted. In classical language, special divisors move on the curve in a ""larger than expected"" linear system of divisors.
