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.AG2023
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…