Singular Algebraic Curves

Released on by Gert-Martin Greuel
preview-18

  • Singular Algebraic Curves Book Detail

  • Author : Gert-Martin Greuel
  • Release Date : 2018-12-30
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 553
  • ISBN 13 : 3030033503
  • File Size : 6,6 MB
DOWNLOAD BOOK

Singular Algebraic Curves by Gert-Martin Greuel PDF Summary

Book Description: Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.

Disclaimer: www.yourbookbest.com does not own Singular 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.

Singular Algebraic Curves

Singular Algebraic Curves

File Size : 1,1 MB
Total View : 7292 Views
DOWNLOAD

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research rel

Singularities of Plane Curves

Singularities of Plane Curves

File Size : 1,1 MB
Total View : 8531 Views
DOWNLOAD

Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

A Treatise on Algebraic Plane Curves

A Treatise on Algebraic Plane Curves

File Size : 2,2 MB
Total View : 8603 Views
DOWNLOAD

A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the