1 citations · 1 across the 5 of their papers we have counts for
5 papers
Hyperelliptic Brill-Noether loci
Nero Budur, An-Khuong Doan
Hyperelliptic theta divisors, and more generally, Brill-Noether loci, are shown to be locally catalecticant determinantal varieties. This has many consequences for their local and…
Equivariant deformations of isolated singularities and applications
An Khuong Doan
In this paper, we develop an equivariant version of the classical theory of deformations of germs of complex spaces in the presence of complex Lie groups. As a tradition, the main…
Deformations with cohomology constraints: a review
Nero Budur, An-Khuong Doan
Deformation problems with cohomology constraints over a field of characteristic zero are controlled by L-infinity pairs. In this largely expository article we review this theory an…
Formal moduli problems with cohomological constraints
An Khuong Doan
We aim to generalize Lurie-Pridham's famous -correspondence between formal moduli problems and differential graded Lie algebras to the context where some cohomological cond…
A note on the group extension problem to semi-universal deformation
An Khuong Doan
The aim of this note is twofold. Firstly, we explain in detail Remark 4.1 in \cite{doan-a} by showing that the action of the automorphism group of the second Hirzebruch surface $\m…