Factorization of birational morphisms of regular schemes
type: Item
instance of: scholarly article
title: Factorization of birational morphisms of regular schemes
zbMATH Open document ID: 0806.14008
DOI: 10.1007/BF02571670
author: Zhaohua Luo
published in: Mathematische Zeitschrift
publication date: 1994-04-12T00:00:00Z
full work available at URL: https://eudml.org/doc/174499
review text: The paper is a next step toward understanding the structure of proper birational morphisms of smooth algebraic varieties. The main result is: Let \(f:X \to Y\) be a proper birational morphism of regular schemes. If the exceptional divisor \(E_ f\) of \(f\) has two nonsingular components collapsing to a nonsingular irreducible subscheme of \(Y\) then \(f\) can be factored by two blowing ups with nonsingular centers.
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14E07
zbMATH DE Number: 549745
zbMATH Keywords: factorization of proper birational morphisms
zbMATH Keywords: regular schemes
zbMATH Keywords: exceptional divisor
zbMATH Keywords: blowing ups
reviewed by: Tadeusz Krasiński
MaRDI profile type: Publication
cites work: Factorization of birational morphisms with fiber dimension bounded by 1
cites work: Q4212433
cites work: Q4205535
cites work: Birational morphisms factorizable by two monoidal transformations
cites work: Birational morphisms of smooth threefolds collapsing three surfaces to a curve
description: scientific article; zbMATH DE number 549745