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totalt 11 träffar
Rational Curves on Algebraic Varieties
The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, …
What Determines an Algebraic Variety?
A pioneering new nonlinear approach to a fundamental question in algebraic geometryOne of the crowning achievements of nineteenth-century mathematics was the proof that the …
Singularities of the Minimal Model Program
This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities …
Rational and Nearly Rational Varieties
The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties appear in …
Families of Varieties of General Type
This book establishes the moduli theory of stable varieties, giving the optimal approach to understanding families of varieties of general type. Starting from the Deligne–Mumford …
Current Topics in Complex Algebraic Geometry
The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects survey articles that arose from this …
Shafarevich Maps and Automorphic Forms
The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for …
Higher Dimensional Varieties and Rational Points
Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of …
Minimal Models And Extremal Rays (Kyoto,2011)
Since the appearance of extremal rays and the minimal model program around 1980, we have seen the tremendous development of Algebraic Geometry. With this in mind, the conference …
Birational Geometry of Algebraic Varieties
One of the major discoveries of the last two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional …