Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-6522
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dc.contributor.authorFelten, Simon-
dc.contributor.authorFilip, Matej-
dc.contributor.authorRuddat, Helge-
dc.date.accessioned2021-11-16T09:35:20Z-
dc.date.available2021-11-16T09:35:20Z-
dc.date.issued2021-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/6532-
dc.description.abstractWe prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces. The main approach is to study log structures that are incoherent on a subspace of codimension 2 and prove a Hodge–de Rham degeneration theorem for such log spaces that also settles a conjecture by Danilov. We show that the homotopy equivalence between Maurer–Cartan solutions and deformations combined with Batalin–Vilkovisky theory can be used to obtain smoothings. The construction of new Calabi–Yau and Fano manifolds as well as Frobenius manifold structures on moduli spaces provides potential applications.en_GB
dc.description.sponsorshipOpen Access-Publizieren Universität Mainz / Universitätsmedizin Mainzde
dc.language.isoengde
dc.rightsCC BY*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleSmoothing toroidal crossing spacesen_GB
dc.typeZeitschriftenaufsatzde
dc.identifier.doihttp://doi.org/10.25358/openscience-6522-
jgu.type.dinitypearticleen_GB
jgu.type.versionPublished versionde
jgu.type.resourceTextde
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatikde
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleForum of mathematics : Pide
jgu.journal.volume9de
jgu.pages.alternativee7de
jgu.publisher.year2021-
jgu.publisher.nameCambridge Univ. Pressde
jgu.publisher.placeCambridgede
jgu.publisher.urihttps://doi.org/10.1017/fmp.2021.8de
jgu.publisher.issn2050-5086de
jgu.organisation.placeMainz-
jgu.subject.ddccode510de
jgu.publisher.doi10.1017/fmp.2021.8
jgu.organisation.rorhttps://ror.org/023b0x485
Appears in collections:JGU-Publikationen

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