Andrei Bud

collaborators

3 papers

math.AG2025

The Kodaira dimension of even spin strata of Abelian differentials

Andrei Bud, Dawei Chen, Martin MÃ¶ller

The even spin components of the strata of Abelian differentials are difficult to handle from a birational geometry perspective due to the fact that their spin line bundles have mor…

math.AG2025

The class of the Prym-Brill-Noether divisor

Andrei Bud

For $r \geq 3$ and $g = \frac{r ( r + 1 )}{2}$ , we study the Prym-Brill-Noether variety $V^{r} (C, I^\cdot)$ associated to Prym curves $[C, I^\cdot]$ . The locus $R_{g}^{r}$ in $R_{g}$ para…

math.AG2025

Maximal Brill-Noether loci via degenerations and double covers

Andrei Bud, Richard Haburcak

Using limit linear series on chains of curves, we show that closures of certain Brill--Noether loci contain a product of pointed Brill--Noether loci of small codimension. As a resu…