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The Gorenstein conjecture fails for the tautological ring of M̅ 2,n
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
Leibniz Universität Hannover.
2014 (English)In: Inventiones Mathematicae, ISSN 0020-9910, E-ISSN 1432-1297, Vol. 196, no 1, 139-161 p.Article in journal (Refereed) Published
Abstract [en]

We prove that for N equal to at least one of the integers 8, 12, 16, 20 the tautological ring is not Gorenstein. In fact, our N equals the smallest integer such that there is a non-tautological cohomology class of even degree on . By work of Graber and Pandharipande, such a class exists on , and we present some evidence indicating that N is in fact 20.

Place, publisher, year, edition, pages
2014. Vol. 196, no 1, 139-161 p.
Keyword [en]
Moduli Spaces, Local Systems, Eisenstein Cohomology, Configuration-Spaces, Abelian Surfaces, Curves
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-122386DOI: 10.1007/s00222-013-0466-zISI: 000333160600003Scopus ID: 2-s2.0-84896400395OAI: oai:DiVA.org:kth-122386DiVA: diva2:622088
Note

QC 20140428

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Topology of moduli spaces and operads
Open this publication in new window or tab >>Topology of moduli spaces and operads
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. vii, 45 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 13:02
National Category
Geometry
Identifiers
urn:nbn:se:kth:diva-122389 (URN)978-91-7501-759-4 (ISBN)
Public defence
2013-05-31, Sal E2, Lindstedtsvägen 3, KTH, Stockholm, 14:00 (English)
Opponent
Supervisors
Note

QC 20130520

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2013-05-20Bibliographically approved

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CiteExportLink to record
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  • apa
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