Lectures on Resolution of Singularities (Am-166)Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, J nos Koll r provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Koll r goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self contained and