The codimension-two homology of the moduli space of stable curves is algebraic
type: Item
instance of: scholarly article
title: The codimension-two homology of the moduli space of stable curves is algebraic
zbMATH Open document ID: 0766.14017
DOI: 10.1215/S0012-7094-92-06709-3
author: Dan Edidin
published in: Duke Mathematical Journal
publication date: 1992-12-14T00:00:00Z
review text: Let \({\mathcal M}_ g\) be the moduli space of stable curves of genus \(g\). The author first finds \(a={[(g^ 2-1)/4]}+3g-3\) generators for the Chow group \(A^ i_ \mathbb{Q}(\overline{{\mathcal M}}_ g-{\mathcal M}_ g)\) and uses this fact to show that \(a\) is an upper bound on the rank of the homology group \(H_{2(3g-3)-4}(\overline {\mathcal M}_ g-{\mathcal M}_ g,\mathbb{Q})\). The dual basis for \(H_ 4(\overline{\mathcal M}_ g)\) is seen to be algebraic.
reviewed by: Paul Cherenack
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14C05
Mathematics Subject Classification ID: 14F20
zbMATH DE Number: 78558
zbMATH Keywords: tautological class
zbMATH Keywords: intersection product
zbMATH Keywords: moduli space of stable curves
zbMATH Keywords: generators for the Chow group
zbMATH Keywords: rank of the homology group
MaRDI profile type: Publication
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full work available at URL: s0012-7094-92-06709-3
OpenAlex ID: W1568255510
description: scientific article; zbMATH DE number 78558