000 01614nam a22002297a 4500
003 OSt
005 20241125151346.0
008 190225b ||||| |||| 00| 0 eng d
020 _a9780521060226
040 _cTata Book Supplier
_aICTS-TIFR
050 _aQA571
100 _aJanos Kollár,
245 _aBirational geometry of algebraic varieties
260 _aCambridge, U.K.:
_bCambridge University Press,
_c[c1998]
300 _a254 p
490 _aCambridge Tracts in Mathematics
_v134
505 _a1 - Rational Curves and the Canonical Class 2 - Introduction to the Minimal Model Program 3 - Cone Theorems 4 - Surface Singularities of the Minimal Model Program 5 - Singularities of the Minimal Model Program 6 - Three-dimensional Flops 7 - Semi-stable Minimal Models
520 _aOne of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields. --- summary provided by publisher
650 _aMathematics
650 _aGeometry and Topology
942 _2lcc
_cBK
999 _c2391
_d2391