Volume 25, issue 5 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
On the vanishing topology of isolated Cohen–Macaulay codimension $2$ singularities

Anne Frühbis-Krüger and Matthias Zach

Geometry & Topology 25 (2021) 2167–2194
Abstract

We establish the rationality of simple isolated Cohen–Macaulay codimension 2 (ICMC2) singularities in all dimensions 2 and explicitly compute the vanishing homology of a certain class of threefolds including all the simple ones. ICMC2 singularities are determinantal and can be viewed as a natural generalization of complete intersections. The main tool for our investigations is the so-called Tjurina transformation — a special blowup construction based on the determinantal structure and often compatible with deformations.

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/gt

We have not been able to recognize your IP address 18.204.2.231 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
singularity, Milnor fiber, vanishing homology, determinantal singularity
Mathematical Subject Classification 2010
Primary: 32S30
Secondary: 14B05
References
Publication
Received: 30 March 2018
Revised: 3 July 2020
Accepted: 22 August 2020
Published: 3 September 2021
Proposed: Walter Neumann
Seconded: Mark Gross, Dan Abramovich
Authors
Anne Frühbis-Krüger
Institut fur Mathematik
Carl von Ossietzky Universität Oldenburg
Oldenburg
Germany
Matthias Zach
Institut für Algebraische Geometrie
Leibniz Universität Hannover
Hannover
Germany