Focusing on projective algebraic geometry, this book is based on a master's course designed for students with no prior knowledge of the subject. It emphasizes easily formulated problems with significant solutions, such as Bézout's theorem and rational curves, to introduce key concepts like dimension, singularities, and cohomology. The text minimizes the use of commutative algebra, providing essential theorems without extensive proofs. An appendix offers a brief overview of scheme-theoretic methods, highlighting nilpotent elements.
