Titlebook: Geometry of Algebraic Curves; Volume I E. Arbarello,M. Cornalba,J. Harris Textbook 1985 Springer-Verlag New York 1985 Algebraic.Curves.Geom

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The Basic Results of the Brill-Noether Theory,o describe how the projective realizations of a curve vary with its moduli, and what it means, from this point of view, to say that a curve is “general” or “special.” Accordingly, we would like to know, first of all, what linear series can we expect to find on a general curve and, secondly, what the

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,The Geometric Theory of Riemann’s Theta Function, important cases of them were classically known and, in a sense, provided a motivation for the entire theory. What we have in mind here are the classical theorems concerning the geometry of ..(.), that is, the geometry of Riemann’s theta function. Of course, these results are more than mere exemplif

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Enumerative Geometry of Curves,merative problems that arise in the theory of curves and linear systems. While this is in some sense a quantitative approach, qualitative results may also emerge. For example, the answer to the enumerative question: “How many ..’s does a curve . possess” (Theorem (4.4) in Chapter VII) implies the ex

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