Introduction to Algebraic Geometry

This book is intended for self-study or as a textbook for graduate students or advanced undergraduates.It includes applications of the material to robotics and tensor analysis. It covers traditional algebraic geometry and schemes, culminating with a modern treatment of the Riemann-Roch theorem and the j-invariant classifying genus-one curves.It only presupposes some basic knowledge of point-set topology and a solid foundation in linear algebra.It contains appendices that develop all of the commutative algebra, sheaf-theory, and cohomology needed to understand the material. Read more