On toroidal embeddings of 3-folds
type: Item
instance of: scholarly article
title: On toroidal embeddings of 3-folds
zbMATH Open document ID: 0623.14004
DOI: 10.1007/BF02769460
author: Mina Teicher
published in: Israel Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The author considers the toric birational morphisms between toric varieties of dimension \(3\) which contract m irreducible divisors to a point. In particular the author studies the question whether they are factorizable in a product of blowings-up of points or not and gives a complete classification for the case \(m\leq 5\), using combinatorial methods. The most important tool for the proof is the ``Farey graph'' associated to such a morphism.
reviewed by: Luciana Picco Botta
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14J30
zbMATH DE Number: 4010660
zbMATH Keywords: toroidal embeddings of 3-folds
zbMATH Keywords: toric birational morphisms
zbMATH Keywords: product of blowings-up
zbMATH Keywords: Farey graph
MaRDI profile type: Publication
cites work: Birational morphisms of smooth threefolds collapsing three surfaces to a point
cites work: Birational morphisms factorizable by two monoidal transformations
cites work: Birational morphisms of smooth threefolds collapsing three surfaces to a curve
cites work: Combinatorial analysis of point obstructions to local factorizability in three-folds
cites work: Factorization of a birational morphism between 4-folds
full work available at URL: https://doi.org/10.1007/bf02769460
OpenAlex ID: W1999502323
description: scientific article; zbMATH DE number 4010660