"Algebraic Geometry V" is a textbook written by V.A. Iskovskikh and Yu.G. Prokhorov that focuses on the structure theory of Fano varieties. These algebraic varieties are characterized by an ample anticanonical divisor and play a significant role in the birational classification of varieties with negative Kodaira dimension. The book provides a comprehensive presentation of various approaches to the classification of Fano varieties, including the classical Fano-Iskovskikh method of double projection, S. Mukai's vector bundle method, and the method of extremal rays. Additionally, topics such as uniruledness and rational connectedness are discussed, along with recent advances in the rationality problems of Fano varieties. An appendix with tables for specific classes of Fano varieties complements the content. This book serves as a valuable reference and research guide for researchers and students in algebraic geometry.