Advanced Studies in Pure Mathematics

On Semistable Extremal Neighborhoods

Shigefumi Mori

Full-text: Open access

Abstract

We give an explicit description of an extremal nbd $X \supset C \simeq \mathbb{P}^1$ of type $k2A$. We also give a criterion for $X$ to be a flipping contraction and an explicit description of the contraction and the flip.

Article information

Source
Higher Dimensional Birational Geometry, S. Mori and Y. Miyaoka, eds. (Tokyo: Mathematical Society of Japan, 2002), 157-184

Dates
Received: 2 February 2001
First available in Project Euclid: 31 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546230379

Digital Object Identifier
doi:10.2969/aspm/03510157

Mathematical Reviews number (MathSciNet)
MR1929794

Zentralblatt MATH identifier
1066.14018

Citation

Mori, Shigefumi. On Semistable Extremal Neighborhoods. Higher Dimensional Birational Geometry, 157--184, Mathematical Society of Japan, Tokyo, Japan, 2002. doi:10.2969/aspm/03510157. https://projecteuclid.org/euclid.aspm/1546230379


Export citation