书目名称 | Geometry of Algebraic Curves | 副标题 | Volume I | 编辑 | E. Arbarello,M. Cornalba,J. Harris | 视频video | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | 图书封面 |  | 描述 | In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950‘s and 1960‘s. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear se | 出版日期 | Textbook 1985 | 关键词 | Algebraic; Curves; Geometry; algebra; moduli space | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-5323-3 | isbn_softcover | 978-1-4419-2825-2 | isbn_ebook | 978-1-4757-5323-3Series ISSN 0072-7830 Series E-ISSN 2196-9701 | issn_series | 0072-7830 | copyright | Springer-Verlag New York 1985 |
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