Geometry of Algebraic Curves

preview-18
  • Geometry of Algebraic Curves Book Detail

  • Author : Enrico Arbarello
  • Release Date : 2013-08-30
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 387
  • ISBN 13 : 9781475753240
  • File Size : 58,58 MB

Geometry of Algebraic Curves by Enrico Arbarello PDF Summary

Book Description: 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 series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).

Disclaimer: www.yourbookbest.com does not own Geometry of Algebraic Curves books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Geometry of Algebraic Curves

Geometry of Algebraic Curves

File Size : 92,92 MB
Total View : 1873 Views
DOWNLOAD

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 de

Geometry of Algebraic Curves

Geometry of Algebraic Curves

File Size : 85,85 MB
Total View : 5894 Views
DOWNLOAD

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 de

Algebraic Geometry and Arithmetic Curves

Algebraic Geometry and Arithmetic Curves

File Size : 74,74 MB
Total View : 333 Views
DOWNLOAD

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves

Algebraic Curves

Algebraic Curves

File Size : 53,53 MB
Total View : 8142 Views
DOWNLOAD

The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We hav

Algebraic Geometry I

Algebraic Geometry I

File Size : 9,9 MB
Total View : 2470 Views
DOWNLOAD

"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics.