Algebraic Geometry
eBook - PDF

Algebraic Geometry

  1. 228 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Geometry

About this book

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.

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Yes, you can access Algebraic Geometry by Daniel Bump in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
1998
eBook ISBN
9789813105300

Table of contents

  1. Table of Contents
  2. Preface
  3. Information for the Reader
  4. 1. Affine Algebraic Sets and Varieties
  5. 2. The Extension Theorem
  6. 3. Maps of Affine Varieties
  7. 4. Dimension and Products
  8. 5. Local Algebra
  9. 6. Properties of Affine Varieties
  10. 7. Varieties
  11. 8. Complete Nonsingular Curves
  12. 9. Ramification
  13. 10. Completions
  14. 11. Differentials and Residues
  15. 12. The Riemann-Roch Theorem
  16. 13. Elliptic Curves and Abelian Varieties
  17. 14. The Zeta Function of a Curve
  18. References
  19. Index