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Yat-Hin, Suen
기하학 수리물리 연구단
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Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces

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dc.contributor.authorChan, Kwokwai-
dc.contributor.authorMa, Ziming Nikolas-
dc.contributor.authorYat-Hin Suen-
dc.date.accessioned2022-07-29T07:12:00Z-
dc.date.available2022-07-29T07:12:00Z-
dc.date.created2022-03-15-
dc.date.issued2022-06-
dc.identifier.issn0001-8708-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/11974-
dc.description.abstract© 2022 Elsevier Inc.We introduce the notion of tropical Lagrangian multi-sections over a 2-dimensional integral affine manifold B with singularities, and use them to study the reconstruction problem for higher rank locally free sheaves over Calabi-Yau surfaces. To certain tropical Lagrangian multi-sections L over B, which are explicitly constructed by prescribing local models around the ramification points, we construct locally free sheaves E0(L,ks) over the singular projective scheme X0(B,P,s) associated to B equipped with a polyhedral decomposition P and a gluing data s. We then find combinatorial conditions on such an L under which the sheaf E0(L,ks) is simple. This produces explicit examples of smoothable pairs (X0(B,P,s),E0(L,ks)) in dimension 2.-
dc.language영어-
dc.publisherAcademic Press Inc.-
dc.titleTropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000793102900016-
dc.identifier.scopusid2-s2.0-85125481383-
dc.identifier.rimsid77858-
dc.contributor.affiliatedAuthorYat-Hin Suen-
dc.identifier.doi10.1016/j.aim.2022.108280-
dc.identifier.bibliographicCitationAdvances in Mathematics, v.401-
dc.relation.isPartOfAdvances in Mathematics-
dc.citation.titleAdvances in Mathematics-
dc.citation.volume401-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordAuthorAlgebraic geometry-
dc.subject.keywordAuthorMirror symmetry-
dc.subject.keywordAuthorSymplectic geometry-
dc.subject.keywordAuthorTropical geometry-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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