2-dimensional periodic continued fractions and 3-dimensional cusp singularities
type: Item
instance of: scholarly article
title: 2-dimensional periodic continued fractions and 3-dimensional cusp singularities
zbMATH Open document ID: 0534.14006
author: Hiroyasu Tsuchihashi
published in: Proceedings of the Japan Academy. Series A
publication date: 1982-01-01T00:00:00Z
review text: Let T be a triangulation of a compact topological surface on each edge of which a pair of integers is attached. The author announces that, given such a T satisfying some technical conditions, he is able to construct a 3-dimensional cusp singularity admitting a resolution whose exceptional set is determined by T. The proofs are not given and should appear elsewhere.
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 3847547
zbMATH Keywords: periodic continued fractions
zbMATH Keywords: 3-dimensional cusp singularity
zbMATH Keywords: exceptional set
MaRDI profile type: Publication
full work available at URL: pjaa.58.262
OpenAlex ID: W1973588981
cites work: Inoue-Hirzebruch surfaces and a duality of hyperbolic unimodular singularities. I
cites work: Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
DOI: 10.3792/PJAA.58.262
description: scientific article; zbMATH DE number 3847547