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Complex algebraic threefolds /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Complex algebraic threefolds // Masayuki Kawakita.
Author:	Kawakita, Masayuki,
Description:	1 online resource (xii, 490 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 29 Sep 2023).
Subject:	Threefolds (Algebraic geometry) -
Online resource:	https://doi.org/10.1017/9781108933988
ISBN:	9781108933988 (ebook)

Complex algebraic threefolds /
Kawakita, Masayuki,1976-

Complex algebraic threefolds /Masayuki Kawakita. - 1 online resource (xii, 490 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;209. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 29 Sep 2023).

The minimal model program -- Singularities -- Divisorial contractions to points -- Divisorial contractions to curves -- Flips -- The Sarkisov category -- Conical fibrations -- Del Pezzo fibrations -- Fano threefolds -- Minimal models.

The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension.

ISBN: 9781108933988 (ebook)Subjects--Topical Terms:

580497
Threefolds (Algebraic geometry)

LC Class. No.: QA564 / .K386 2024

Dewey Class. No.: 516.35

Complex algebraic threefolds /
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100 1 $a Kawakita, Masayuki, $d 1976- $e author. $3 1442007
245 1 0 $a Complex algebraic threefolds / $c Masayuki Kawakita.
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300 $a 1 online resource (xii, 490 pages) : $b digital, PDF file(s).
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490 1 $a Cambridge studies in advanced mathematics ; $v 209
500 $a Title from publisher's bibliographic system (viewed on 29 Sep 2023).
505 0 $a The minimal model program -- Singularities -- Divisorial contractions to points -- Divisorial contractions to curves -- Flips -- The Sarkisov category -- Conical fibrations -- Del Pezzo fibrations -- Fano threefolds -- Minimal models.
520 $a The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension.
650 0 $a Threefolds (Algebraic geometry) $3 580497
650 0 $a Abelian varieties $3 1442008
776 0 8 $i Print version: $z 9781108844239
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/9781108933988