The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties appear in mathematics and the sciences, we see rational ones emerging as the most interesting examples. The authors have given an elementary treatment of rationality questions using a mix of classical and modern methods. Arising from a summer school course taught by JAinos KollAir, this book develops the modern theory of rational and nearly rational varieties at a level that will particularly suit graduate students. There are numerous examples and exercises, all of which are accompanied by fully worked out solutions, that will make this book ideal as the basis of a graduate course. It will act as a valuable reference for researchers whilst helping graduate students to reach the point where they can begin to tackle contemporary research problems.Benson Representations and cohomolony II 32 C. Allday aamp; V. Puppe Cohomological metluxls in transformation groups 33 C. Soole ct aL lectures on Arakeloi geometrs 34 A. Ambeosetti aamp;G. ... Clark aamp; B.A. Davey Natural dualities for the worints algebeaist 58 J. McClean A usera#39;s guide to spectral sequences II 59 P. Tai lor Practical ... Equations and Their Algebeo-Geometric Solutions. t 8 I S . Mukai An Introduction to Insariants and Modoli K2 G.Ti.ntrlakisiccrana#39;* m htgic and Sei Thtors.

Title | : | Rational and Nearly Rational Varieties |

Author | : | János Kollár, Karen E. Smith, Alessio Corti |

Publisher | : | Cambridge University Press - 2004-04-22 |

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