2 papers
math.CV2020
Equivariant Kuranishi family of complex compact manifolds
An Khuong Doan
We prove that actions of complex reductive Lie groups on a complex compact manifold are locally extendable to its Kuranishi family. This can be seen as an analogue of Rim's result…
math.AG2019
A counter-example to the equivariance structure on semi-universal deformation
An Khuong Doan
If is a projective variety and is an algebraic group acting algebraically on , we provide a counter-example to the existence of a -equivariant extension on the formal…