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- Scopus: eid_2-s2.0-61449165873
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Article: Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples.
Title | Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples. |
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Authors | |
Keywords | Asymptotically conical Calabi-Yau manifolds Conical Singularities Special Lagrangian submanifolds |
Issue Date | 2009 |
Publisher | Springer 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/197207 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.587 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chan, YM | en_US |
dc.date.accessioned | 2014-05-23T02:26:44Z | - |
dc.date.available | 2014-05-23T02:26:44Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Annals of Global Analysis and Geometry , 2009, v. 35 n. 2, p. 157-180 | en_US |
dc.identifier.issn | 0232-704X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/197207 | - |
dc.description.abstract | This 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.language | eng | en_US |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704X | en_US |
dc.relation.ispartof | Annals of Global Analysis and Geometry | en_US |
dc.rights | The original publication is available at www.springerlink.com | en_US |
dc.subject | Asymptotically conical | - |
dc.subject | Calabi-Yau manifolds | - |
dc.subject | Conical Singularities | - |
dc.subject | Special Lagrangian submanifolds | - |
dc.title | Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. II. Examples. | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chan, YM: wtymchan@hku.hk | en_US |
dc.identifier.doi | 10.1007/s10455-008-9128-6 | - |
dc.identifier.scopus | eid_2-s2.0-61449165873 | - |
dc.identifier.hkuros | 162816 | en_US |
dc.identifier.volume | 35 | en_US |
dc.identifier.spage | 157 | en_US |
dc.identifier.epage | 180 | en_US |
dc.identifier.isi | WOS:000263777200004 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.issnl | 0232-704X | - |