10 citations · 19 across the 6 of their papers we have counts for
6 papers
Local structure of the Teichmüller and the Riemann moduli stacks
An Khuong Doan
The goal of this note is to introduce an interesting question proposed by D. Rydh on an analytic version of the local structure of Artin stacks saying that near points with linearl…
Group actions on local moduli space of holomorphic vector bundles
An Khuong Doan
We prove that actions of complex reductive Lie groups on a holomorphic vector bundle over a complex compact manifold are locally extendable to its local moduli space.
Semi-prorepresentability of formal moduli problems and equivariant structures
An Khuong Doan
We generalize the notion of semi-universality in the classical deformation problems to the context of derived deformation theories. A criterion for a formal moduli problem to be se…
A Curious Use of Extra Dimension in Classical Mechanics
Trung Phan, Anh Doan
Extra dimensions can be utilized to simplify problems in classical mechanics, offering new insights. Here we show a simple example of how the motion of a test particle under the in…
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…
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…