return to Fall 2024 MATH 5330 webpage
Required textbook:
Other possible books:
Ideals, Varieties, and Algorithms: An Introduction to
Computational Algebraic Geometry and Commutative
Algebra, Undergraduate Texts in Mathematics, by
David A. Cox, John Little, Donal O’Shea, Springer, 4th ed.
(denoted [CLO] in this course).
A list of known errata for this book is posted here.
See list below. Note that I have seen only some of the
listed books; many were recommended to me by others.
- Undergraduate Algebraic Geometry, by M. Reid, Cambridge University Press
- Using Algebraic Geometry, by D. Cox, J. Little, D. O’Shea, 2nd Ed., Graduate Texts in Mathematics, Vol. 185, Springer-Verlag
- Geometry, by E. Rees, Notes on Geometry, Universitext, Springer-Verlag
- Algebraic Geometry, by R. Hartshorne, Graduate Texts in Mathematics, Vol. 52, Springer-Verlag
- Algebraic Geometry: a First Course, by J. Harris, Graduate Texts in Mathematics, Vol. 133, Springer-Verlag
- The Geometry of Schemes, by D. Eisenbud and J. Harris, Graduate Texts in Mathematics, Vol. 197, Springer-Verlag
- Principles of Algebraic Geometry, by P. Griffiths and J. Harris, Wiley and Sons
- Introduction to Commutative Algebra and Algebraic Geometry, by E. Kunz, Birkhӓuser
- Elementary Algebraic Geometry, by K. Hulek, Student Mathematical Library, Vol. 20, AMS Publications
- Algebraic Geometry, (3 books) by K. Ueno, Translations of Mathematical Monographs, AMS Publications
- Algebraic Curves and One-Dimensional Fields, by F. Bogomolov and T. Petrov, AMS Publications
- Elementary Algebraic Geometry, K. Kendig, Graduate Texts in Mathematics, Vol. 44, Springer-Verlag.
A Rainbow 5-Knot (courtesy of Brad Shelton at the University of Oregon)