Introduction to Singularities

Introduction to Singularities, 2nd Edition, is a mathematics book by Shihoko Ishii that explores singularities within algebraic geometry. Published by Springer, the text centers its focus on isolated singularities in algebraic varieties.

The volume provides background on varieties, sheaves, and homological algebra before presenting results on two-dimensional isolated singularities. It also examines higher-dimensional isolated singularities, addressing their classification according to plurigenera and their behavior under deformation.

Intended for graduate students and researchers, the book explains how singularities serve an essential role in describing algebraic varieties. For this 2018 edition, the author added a concluding chapter that provides brief descriptions of research developments.