Algebraic Geometry


pdf (current version 5.10)

v2.01 (August 24, 1996). First version on the web.
v3.01 (June 13, 1998). Added 5 sections (25 pages) and an index. Minor changes to Sections 0-8. 157pp.
v4.00 (October 30, 2003). Fixed errors; many minor revisions; added exercises; added two sections; 206 pages.
v5.00 (February 20, 2005). Heavily revised; most numbering changed; 227 pages.
v5.10 (March 19, 2008). Minor fixes; TeX style changed, so page numbers changed; 241 pages.

Contents

  1. Preliminaries
  2. Algebraic sets
  3. Affine algebraic varieties
  4. Algebaic varieties
  5. Local study
  6. Projective varieties
  7. Complete varieties
  8. Finite maps
  9. Dimension theory
  10. Regular maps and their fibres
  11. Algebraic spaces: geometry over an arbitrary field
  12. Divisors and intersection theory
  13. Coherent sheaves; invertible sheaves
  14. Differentials (Outline)
  15. Algebraic varieties over the complex numbers (Outline)
  16. Descent Theory
  17. Lefschetz Pencils (Outline)
    18. Solutions to the Exercises
    Annotated Bibliography
    Index

Errata


pdf (old version 5.00)