### Download PDF by Yoichi Miyaoka, Thomas Peternell (auth.): Geometry of Higher Dimensional Algebraic Varieties

By Yoichi Miyaoka, Thomas Peternell (auth.)

ISBN-10: 3034888937

ISBN-13: 9783034888936

ISBN-10: 3764354909

ISBN-13: 9783764354909

This publication is predicated on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by means of the authors at Oberwolfach from April 2 to eight, 1995. It provides an advent to the type concept and geometry of upper dimensional complex-algebraic forms, concentrating on the tremendeous advancements of the sub ject within the final two decades. The paintings is in components, with every one preceeded via an creation describing its contents intimately. right here, it is going to suffice to easily ex simple how the subject material has been divided. Cum grano salis one may possibly say that half 1 (Miyaoka) is extra curious about the algebraic equipment and half 2 (Peternell) with the extra analytic elements notwithstanding they've got unavoidable overlaps simply because there isn't any clearcut contrast among the 2 tools. in particular, half 1 treats the deformation conception, lifestyles and geometry of rational curves through attribute p, whereas half 2 is especially considering vanishing theorems and their geometric functions. half I Geometry of Rational Curves on types Yoichi Miyaoka RIMS Kyoto college 606-01 Kyoto Japan creation: Why Rational Curves? This word is predicated on a sequence of lectures given on the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as part of the DMV seminar "Mori Theory". the development of minimum types used to be mentioned through T.