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2021 On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities
Anne Frühbis-Krüger, Matthias Zach
Geom. Topol. 25(5): 2167-2194 (2021). DOI: 10.2140/gt.2021.25.2167

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.

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Anne Frühbis-Krüger. Matthias Zach. "On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities." Geom. Topol. 25 (5) 2167 - 2194, 2021. https://doi.org/10.2140/gt.2021.25.2167

Information

Received: 30 March 2018; Revised: 3 July 2020; Accepted: 22 August 2020; Published: 2021
First available in Project Euclid: 12 October 2021

Digital Object Identifier: 10.2140/gt.2021.25.2167

Subjects:
Primary: 32S30
Secondary: 14B05

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.25 • No. 5 • 2021
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