Andrei Bud

activity

20202026

most citedThe image in the moduli space of curves of strata of meromorphic and quadratic differentials

2 citations · 3 across the 12 of their papers we have counts for

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math.AG2024

Prym-Brill-Noether theory for ramified double covers

Andrei Bud

We initiate the study of Prym-Brill-Noether theory for ramified double covers, extending several key results from classical Prym-Brill-Noether theory to this new framework. In part…

math.AG2024

The Kodaira dimension of even spin strata of Abelian differentials

Andrei Bud, Dawei Chen, Martin Möller

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.AG2024

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 $V^{r} (C, η)$ associated to Prym curves $[C, η]$ . The locus $R_{g}^{r}$ in $R_{g}$ parame…

math.AG2024

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…

math.AG2024

Brill-Noether loci and strata of differentials

Andrei Bud

We prove that the projectivized strata of differentials are not contained in pointed Brill-Noether divisors, with only a few exceptions. For a generic element in a stratum of diffe…