Principles of Algebraic Geometry

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

• Algebraic Geometry (Graduate Texts in Mathematics)
• Complex Geometry: An Introduction (Universitext)
• Algebraic Topology
• Representation Theory: A First Course (Graduate Texts in Mathematics)
• Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics, Vol 5)
• Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)
• Basic Algebraic Geometry 1: Varieties in Projective Space
• Introduction To Commutative Algebra, Student Economy Edition
• Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)
• Hodge Theory and Complex Algebraic Geometry, I (Cambridge Studies in Advanced Mathematics)