Log smooth deformation theory via Gerstenhaber algebras
| dc.contributor.author | Felten, Simon | |
| dc.date.accessioned | 2022-01-12T10:34:41Z | |
| dc.date.available | 2022-01-12T10:34:41Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We construct a k[[Q]]-linear predifferential graded Lie algebra L∙X0/S0 associated to a log smooth and saturated morphism f0:X0→S0 and prove that it controls the log smooth deformation functor. This provides a geometric interpretation of a construction in Chan et al. (Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties, 2019. arXiv:1902.11174) whereof L∙X0/S0 is a purely algebraic version. Our proof crucially relies on studying deformations of the Gerstenhaber algebra of polyvector fields; this method is closely related to recent developments in mirror symmetry. | en_GB |
| dc.identifier.doi | http://doi.org/10.25358/openscience-5850 | |
| dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/5859 | |
| dc.language.iso | eng | de |
| dc.rights | CC-BY-4.0 | * |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject.ddc | 510 Mathematik | de_DE |
| dc.subject.ddc | 510 Mathematics | en_GB |
| dc.title | Log smooth deformation theory via Gerstenhaber algebras | en_GB |
| dc.type | Zeitschriftenaufsatz | de |
| jgu.journal.title | Manuscripta mathematica | de |
| jgu.journal.volume | 167 | de |
| jgu.organisation.department | FB 08 Physik, Mathematik u. Informatik | de |
| jgu.organisation.name | Johannes Gutenberg-Universität Mainz | |
| jgu.organisation.number | 7940 | |
| jgu.organisation.place | Mainz | |
| jgu.organisation.ror | https://ror.org/023b0x485 | |
| jgu.pages.end | 35 | de |
| jgu.pages.start | 1 | de |
| jgu.publisher.doi | 10.1007/s00229-020-01255-6 | |
| jgu.publisher.issn | 1432-1785 | de |
| jgu.publisher.name | Springer | de |
| jgu.publisher.place | Berlin u.a. | de |
| jgu.publisher.uri | https://doi.org/10.1007/s00229-020-01255-6 | de |
| jgu.publisher.year | 2022 | |
| jgu.rights.accessrights | openAccess | |
| jgu.subject.ddccode | 510 | de |
| jgu.type.dinitype | Article | en_GB |
| jgu.type.resource | Text | de |
| jgu.type.version | Published version | de |