3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2025
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…