Rational and Nearly Rational Varieties

ISBN-13: 9780521832076 / Angielski / Twarda / 2004 / 242 str.

Janos Kollar; Karen E. Smith; Alessio Corti

Opis

Arising from a summer school course taught by Janos Kollar, this book develops the modern theory of rational varieties at a level appropriate for graduate study. Kollar's original course has been developed, with his co-authors, into a state-of-the-art treatment of the classification of algebraic varieties. The authors have included numerous exercises with solutions, which help students reach the stage where they can begin to tackle related contemporary research problems.

Recenzje

'… a beautiful and ample introduction to the interesting topic of rational and 'nearly rational' varieties and it will be a valuable reference for a wide audience.' Zentralblatt MATH

Spis treści

Introduction; 1. Examples of rational varieties; 2. Cubic surfaces; 3. Rational surfaces; 4. Nonrationality and reduction modulo p; 5. The Noether-Fano method; 6. Singularities of pairs; 7. Solutions to exercises.