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Article: Contraction algebra and singularity of three-dimensional flopping contraction

TitleContraction algebra and singularity of three-dimensional flopping contraction
Authors
Hua, Z
Issue Date2018
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm
Citation
Mathematische Zeitschrift, 2018, v. 290 n. 1-2, p. 431–443 How to Cite?
DOI: http://dx.doi.org/10.1007/s00209-017-2024-7
AbstractDonovan and Wemyss (Duke Math J 165(8):1397–1474, 2016) introduced the contraction algebra of flopping curves in threefold. They conjectured that the contraction algebra determines the formal neighborhood of the underlying singularity of the contraction. In this paper, we prove that the contraction algebra together with its natural A∞ -structure constructed in Hua and Toda (Int Math Res Not rnw333, 2017), determine the formal neighborhood of the singularity.
Persistent Identifierhttp://hdl.handle.net/10722/253748
ISSN
0025-5874
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 1.097
ISI Accession Number ID
WOS:000442995600019

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.date.accessioned2018-05-28T08:21:20Z-
dc.date.available2018-05-28T08:21:20Z-
dc.date.issued2018-
dc.identifier.citationMathematische Zeitschrift, 2018, v. 290 n. 1-2, p. 431–443-
dc.identifier.issn0025-5874-
dc.identifier.urihttp://hdl.handle.net/10722/253748-
dc.description.abstractDonovan and Wemyss (Duke Math J 165(8):1397–1474, 2016) introduced the contraction algebra of flopping curves in threefold. They conjectured that the contraction algebra determines the formal neighborhood of the underlying singularity of the contraction. In this paper, we prove that the contraction algebra together with its natural A∞ -structure constructed in Hua and Toda (Int Math Res Not rnw333, 2017), determine the formal neighborhood of the singularity.-
dc.languageeng-
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm-
dc.relation.ispartofMathematische Zeitschrift-
dc.rightsThe final publication is available at Springer via http://dx.doi.org/[insert DOI]-
dc.titleContraction algebra and singularity of three-dimensional flopping contraction-
dc.typeArticle-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.doi10.1007/s00209-017-2024-7-
dc.identifier.scopuseid_2-s2.0-85040356048-
dc.identifier.hkuros282744-
dc.identifier.hkuros289654-
dc.identifier.volume290-
dc.identifier.issue1-2-
dc.identifier.spage431-
dc.identifier.epage443-
dc.identifier.isiWOS:000442995600019-
dc.publisher.placeGermany-
dc.identifier.issnl0025-5874-

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