Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-5850
Authors: | Felten, Simon |
Title: | Log smooth deformation theory via Gerstenhaber algebras |
Online publication date: | 12-Jan-2022 |
Year of first publication: | 2022 |
Language: | english |
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. |
DDC: | 510 Mathematik 510 Mathematics |
Institution: | Johannes Gutenberg-Universität Mainz |
Department: | FB 08 Physik, Mathematik u. Informatik |
Place: | Mainz |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-5850 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
License: | CC BY |
Information on rights of use: | https://creativecommons.org/licenses/by/4.0/ |
Journal: | Manuscripta mathematica 167 |
Pages or article number: | 1 35 |
Publisher: | Springer |
Publisher place: | Berlin u.a. |
Issue date: | 2022 |
ISSN: | 1432-1785 |
Publisher URL: | https://doi.org/10.1007/s00229-020-01255-6 |
Publisher DOI: | 10.1007/s00229-020-01255-6 |
Appears in collections: | JGU-Publikationen |
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log_smooth_deformation_theory-20220112113514620.pdf | 490.84 kB | Adobe PDF | View/Open |