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Article: Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples.

TitleSimultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples.
Authors
Issue Date2009
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704X
Citation
Annals of Global Analysis and Geometry , 2009, v. 35 n. 2, p. 157-180 How to Cite?
AbstractThis article is a sequel to Chan (Ann Glob Anal Geom, to appear) on simultaneous desingularizations of Calabi–Yau and special Lagrangian (SL) 3-folds with conical singularities. In Chan (Ann Glob Anal Geom, to appear) we treated the question of starting with a conically singular Calabi–Yau 3-fold and an SL 3-fold with conical singularities at the same points and deforming both together to get a smooth situation. In this article, we survey the major result from Chan (Ann Glob Anal Geom, to appear) and describe some examples from our earlier articles (Chan Q J Math 57:151–181, 2006, Q J Math, to appear) on Calabi–Yau desingularizations. We then provide many explicit examples of Asymptotically Conical (AC) SL submanifolds in two specific AC Calabi–Yau manifolds. Using the result in Chan (Ann Glob Anal Geom, to appear), we construct smooth examples of compact SL 3-folds in compact Calabi–Yau 3-folds by gluing those AC SL 3-folds into some conically singular SL 3-folds at the singular points.
Persistent Identifierhttp://hdl.handle.net/10722/197207
ISSN
2015 Impact Factor: 0.835
2015 SCImago Journal Rankings: 1.136
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, YMen_US
dc.date.accessioned2014-05-23T02:26:44Z-
dc.date.available2014-05-23T02:26:44Z-
dc.date.issued2009en_US
dc.identifier.citationAnnals of Global Analysis and Geometry , 2009, v. 35 n. 2, p. 157-180en_US
dc.identifier.issn0232-704Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/197207-
dc.description.abstractThis article is a sequel to Chan (Ann Glob Anal Geom, to appear) on simultaneous desingularizations of Calabi–Yau and special Lagrangian (SL) 3-folds with conical singularities. In Chan (Ann Glob Anal Geom, to appear) we treated the question of starting with a conically singular Calabi–Yau 3-fold and an SL 3-fold with conical singularities at the same points and deforming both together to get a smooth situation. In this article, we survey the major result from Chan (Ann Glob Anal Geom, to appear) and describe some examples from our earlier articles (Chan Q J Math 57:151–181, 2006, Q J Math, to appear) on Calabi–Yau desingularizations. We then provide many explicit examples of Asymptotically Conical (AC) SL submanifolds in two specific AC Calabi–Yau manifolds. Using the result in Chan (Ann Glob Anal Geom, to appear), we construct smooth examples of compact SL 3-folds in compact Calabi–Yau 3-folds by gluing those AC SL 3-folds into some conically singular SL 3-folds at the singular points.-
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704Xen_US
dc.relation.ispartofAnnals of Global Analysis and Geometryen_US
dc.rightsThe original publication is available at www.springerlink.comen_US
dc.titleSimultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples.en_US
dc.typeArticleen_US
dc.identifier.emailChan, YM: wtymchan@hku.hken_US
dc.identifier.doi10.1007/s10455-008-9128-6-
dc.identifier.scopuseid_2-s2.0-61449165873-
dc.identifier.hkuros162816en_US
dc.identifier.volume35en_US
dc.identifier.spage157en_US
dc.identifier.epage180en_US
dc.identifier.isiWOS:000263777200004-
dc.publisher.placeNetherlandsen_US

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