科图分类法:
O187 版次:
中图分类法:
O187 版次:
著者:
Kollár, János.
题名:
Singularities of the minimal model program / / ,
出版发行:
出版地: Cambridge : 出版社: Cambridge University Press, 出版日期: 2013.
载体形态:
x, 370 pages ; 24 cm.
内容提要:
"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 and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previo