### Text Ä Volume I Ô Enrico Arbarello

Es developed in algebraic geometry during the 's and 's Additionally of Algebraic Curves PDF unexpected and deep connections between algebraic curves and differential euations 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 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 Enriues and Severi These books give a

### Enrico Arbarello Ô Grundlehren der mathematischen Wissenschaften Pdf

Geometry of Algebraic Curves Volume I Grundlehren der mathematischen Wissenschaften 267Presentation 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 series to a number of classical topics eg the geometry of the Riemann theta divisor as well as to some of the current research eg the Kodaira dimension of the moduli space of curve