73 citations · 371 across the 45 of their papers we have counts for
46 papers
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…
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 .
Collaborative causal inference on distributed data
Yuji Kawamata, Ryoki Motai, Yukihiko Okada +2
In recent years, the development of technologies for causal inference with privacy preservation of distributed data has gained considerable attention. Many existing methods for dis…
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…
On the derived category of a weighted projective threefold
Yujiro Kawamata
We calculate a semi-orthogonal decomposition of the bounded derived category of coherent sheaves on P(1,1,1,3) using a tilting bundle.
On Fujita's semi-ampleness in the rank one case
Yujiro Kawamata
We prove that a conjecture of Fujita on the semi-ampleness is true in the case of rank one direct summand, though it is wrong in higher rank case by Catanese and Dettweiler.