Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Classification of extremal contractions
from smooth fourfolds of $(3,1)$-type

Author: Hiromichi Takagi
Journal: Proc. Amer. Math. Soc. 127 (1999), 315-321
MSC (1991): Primary 14E30; Secondary 14J35
MathSciNet review: 1637436
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We investigate divisorial contractions of extremal rays from
smooth fourfolds. When the exceptional divisor is contracted to a curve, we prove that the divisor is a $\mathbb{P}^{2}$-bundle or quadric bundle over a smooth curve and the contraction is the blowing up along the curve. Furthermore we determine the local analytic structure of the contraction.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 14E30, 14J35

Retrieve articles in all journals with MSC (1991): 14E30, 14J35

Additional Information

Hiromichi Takagi
Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-0041, Japan

Keywords: Extremal ray, contraction morphism
Received by editor(s): February 12, 1997
Received by editor(s) in revised form: April 24, 1997
Additional Notes: The author is a Research Fellow of the Japan Society for the Promotion of Science
Communicated by: Ron Donagi
Article copyright: © Copyright 1999 American Mathematical Society