Higher-Dimensional Algebraic Geometry (Universitext) - Debarre, Olivier

Higher-Dimensional Algebraic Geometry (Universitext)

Olivier Debarre

Yayınevi: Springer

Yayın tarihi: 05/2011

ISBN: 9781441929174

İngilizce | 250 Sayfa | 15,39x23,6x2,01 cm.

Tür: Matematik-İstatistik

  • Temin Süresi 49 - 63 iş günü

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The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.

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