By János Kollár
This ebook supplies a complete therapy of the singularities that seem within the minimum version application and within the moduli challenge for kinds. The examine of those singularities and the improvement of Mori's software were deeply intertwined. Early paintings on minimum versions depended on special examine of terminal and canonical singularities yet many later effects on log terminal singularities have been acquired as effects of the minimum version application. fresh paintings at the abundance conjecture and on moduli of types of normal style is dependent upon sophisticated houses of log canonical singularities and conversely, the sharpest theorems approximately those singularities use newly built precise situations of the abundance challenge. This booklet untangles those interwoven threads, offering a self-contained and whole concept of those singularities, together with many formerly unpublished effects.
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