34 citations · 36 across the 4 of their papers we have counts for
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Generically log smooth families via generators and relations
Simon Felten
Let be an affine flat morphism of finite type, and let . Then, we obtain a morphism of log schemes $f\colon (X|V) \to (\mathbb{A}^1_t|…
Global logarithmic deformation theory
Simon Felten
A classical problem in algebraic geometry is to construct smooth algebraic varieties with prescribed properties. In the approach via smoothings, one first constructs a degenerate s…
Deformations of log Calabi-Yau pairs can be obstructed
Simon Felten, Andrea Petracci, Sharon Robins
We exhibit examples of pairs where is a smooth projective variety and is an anticanonical reduced simple normal crossing divisor such that the deformations of $(X,D…
The logarithmic Bogomolov-Tian-Todorov theorem
Simon Felten, Andrea Petracci
We prove that the log smooth deformations of a proper log smooth saturated log Calabi-Yau space are unobstructed.
Log Smooth Deformation Theory via Gerstenhaber Algebras
Simon Felten
We construct a -linear predifferential graded Lie algebra associated to a log smooth and saturated morphism and prove that it controls the…
Smoothing toroidal crossing spaces
Simon Felten, Matej Filip, Helge Ruddat
We 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 co…