Andrei Bud

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20242026

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5 papers · 1 filter

math.AG2026

Spin volumes of minimal strata and Chiodo integrals

Andrei Bud, Georgios Politopoulos, Stijn Velstra

We derive a closed formula for the Masur-Veech volumes of spin-parity components of the stratum of abelian differentials with a single zero of maximal order. Our approach is based…

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…

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…