The logarithmic Bogomolov-Tian-Todorov theorem
Simon Felten, Andrea Petracci
TL;DR
This paper proves that the deformations of proper log smooth saturated log Calabi-Yau spaces are unobstructed, extending classical deformation theory to a logarithmic setting.
Contribution
It establishes the logarithmic analogue of the Bogomolov-Tian-Todorov theorem for log Calabi-Yau spaces, showing their deformations are unobstructed.
Findings
Deformations of proper log smooth saturated log Calabi-Yau spaces are unobstructed.
Extension of classical deformation results to logarithmic geometry.
Provides foundational results for the deformation theory of log Calabi-Yau spaces.
Abstract
We prove that the log smooth deformations of a proper log smooth saturated log Calabi-Yau space are unobstructed.
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