Singularities of the minimal model program

By:

Kollar, Janos

Contributor(s):

Kovacs, Sandor [Co-author]

Series: Cambridge tracts in mathematics, no. 200Publication details: Cambridge University Press, 2013. Cambridge:Description: vii, 370p.; hbk; 24cmISBN:

9781107035348

Subject(s):

DDC classification:

516.35 KOL

Summary: 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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results. https://www.cambridge.org/core/books/singularities-of-the-minimal-model-program/BFD87F262E5174A425F12AD85270E0AA#fndtn-information

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	516.35 KOL (Browse shelf(Opens below))	1	Available		031753

Includes references and index.

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 previously unpublished results.

https://www.cambridge.org/core/books/singularities-of-the-minimal-model-program/BFD87F262E5174A425F12AD85270E0AA#fndtn-information

There are no comments on this title.

to post a comment.