03148nam 2200745 a 450 991096390970332120200520144314.09786612157745978128215774312821577449781400827800140082780910.1515/9781400827800(CKB)1000000000788440(EBL)457845(OCoLC)438732324(SSID)ssj0000190877(PQKBManifestationID)11937129(PQKBTitleCode)TC0000190877(PQKBWorkID)10181037(PQKB)10884987(DE-B1597)446562(OCoLC)979581490(DE-B1597)9781400827800(Au-PeEL)EBL457845(CaPaEBR)ebr10312431(CaONFJC)MIL215774(PPN)170237761(FR-PaCSA)45004300(MiAaPQ)EBC457845(Perlego)734491(FRCYB45004300)45004300(EXLCZ)99100000000078844020060803d2007 uy 0engur|n|---|||||txtccrLectures on resolution of singularities /Janos KollarCourse BookPrinceton, N.J. Princeton University Press20071 online resource (215 p.)Annals of mathematics studies ;166Description based upon print version of record.9780691129228 0691129223 9780691129235 0691129231 Includes bibliographical references (p. 197-202) and index. Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- IndexResolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár 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. Kollár 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 entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem.Annals of mathematics studies ;no. 166.Singularities (Mathematics)Singularities (Mathematics)516.3/5SK 240rvkKollar Janos65993MiAaPQMiAaPQMiAaPQBOOK9910963909703321Lectures on resolution of singularities731847UNINA