3 papers
math.AG2024
Semi-orthogonal decomposition and smoothing
Yujiro Kawamata
We investigate the behavior of semi-orthogonal decompositions of bounded derived categories of singular varieties under flat deformations to smooth varieties. We consider a Q-Goren…
math.AG2024
On formal non-commutative deformations of smooth varieties
Yujiro Kawamata
We will develop a formal non-commutative (NC) deformation theory of smooth algebraic varieties defined over a field , and describe a semi-universal deformation where the tan…
math.AG2024
Deformations over non-commutative base
Yujiro Kawamata
We make some remarks on deformations over non-commutative base. We describe the base algebra of versal deformations using and .