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100   $a20060803d2007      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aLectures on resolution of singularities /$fJanos Kollar
205   $aCourse Book
210   $aPrinceton, N.J. $cPrinceton University Press$d2007
215   $a1 online resource (215 p.)
225 1 $aAnnals of mathematics studies ;$v166
300   $aDescription based upon print version of record.
311 08$a9780691129228 
311 08$a0691129223 
311 08$a9780691129235 
311 08$a0691129231 
320   $aIncludes bibliographical references (p. 197-202) and index.
327   $t Frontmatter -- $tContents -- $tIntroduction -- $tChapter 1. Resolution for Curves -- $tChapter 2. Resolution for Surfaces -- $tChapter 3. Strong Resolution in Characteristic Zero -- $tBibliography -- $tIndex
330   $aResolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem.
410  0$aAnnals of mathematics studies ;$vno. 166.
606   $aSingularities (Mathematics)
615  0$aSingularities (Mathematics)
676   $a516.3/5
686   $aSK 240$2rvk
700   $aKollar$b Janos$065993
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910963909703321
996   $aLectures on resolution of singularities$9731847
997   $aUNINA