An operadic proof of the BTT Theorem

Fuente: arXiv
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Hauptverfasser: Cirici, Joana, Horel, Geoffroy
Format: Preprint
Veröffentlicht: 2024
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author Cirici, Joana
Horel, Geoffroy
author_facet Cirici, Joana
Horel, Geoffroy
contents In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the non-commutative BTT for Calabi-Yau dg-categories. Finally, we observe that our proof also produces partial results in positive characteristic.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08786
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An operadic proof of the BTT Theorem
Cirici, Joana
Horel, Geoffroy
Algebraic Topology
Algebraic Geometry
In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the non-commutative BTT for Calabi-Yau dg-categories. Finally, we observe that our proof also produces partial results in positive characteristic.
title An operadic proof of the BTT Theorem
topic Algebraic Topology
Algebraic Geometry
url https://arxiv.org/abs/2410.08786