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MARC 21

Geometry of Higher Dimensional Algebraic Varieties
Tag Description
020$a9783034888936$9978-3-0348-8893-6
082$a516.35$223
099$aOnline resource: Springer
100$aMiyaoka, Yoichi.
245$aGeometry of Higher Dimensional Algebraic Varieties$h[EBook] /$cby Yoichi Miyaoka, Thomas Peternell.
260$aBasel :$bBirkhäuser Basel :$bImprint: Birkhäuser,$c1997.
300$aVI, 218 p. 2 illus.$bonline resource.
336$atext$btxt$2rdacontent
337$acomputer$bc$2rdamedia
338$aonline resource$bcr$2rdacarrier
440$aDMV Seminar ;$v26
505$aI Geometry of Rational Curves on Varieties -- Introduction: Why Rational Curves -- Lecture I: Deformations and Rational Curves -- Lecture II: Construction of Non-Trivial Deformations via Frobenius -- Lecture III: Foliations and Purely Inseparable Coverings -- Lecture IV: Abundance for Minimal 3-Folds -- Lecture V: Rationally Connected Fibrations and Applications -- References -- II An Introduction to the Classification of Higherdimensional Complex Varieties -- Preface -- Prerequisites -- References.
520$aThis book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub­ ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex­ plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin­ stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aPeternell, Thomas.$eauthor.
710$aSpringerLink (Online service)
830$aDMV Seminar ;$v26
856$uhttp://dx.doi.org/10.1007/978-3-0348-8893-6
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