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

collaborators

13 papers

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.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…

math.AG2022

Prym enumerative geometry and a Hurwitz divisor in $R_{2 i}$

Andrei Bud

For $i \geq 2$ , we compute the first coefficients of the class $[D (μ; 3)]$ in the rational Picard group of the moduli of Prym curves $R_{2 i}$ , where $D…

math.AG2021

Irreducibility of a universal Prym-Brill-Noether locus

Andrei Bud

For genus $g = \frac{r ( r + 1 )}{2} + 1$ , we prove that via the forgetful map, the universal Prym-Brill-Noether locus $R_{g}^{r}$ has a unique irreducible component dominating the…

math.AG2021

The birational geometry of $R_{g, 2}$ and Prym-canonical divisorial strata

Andrei Bud

We prove that the moduli space of double covers ramified at two points $R_{g, 2}$ is uniruled for $3 \leq g \leq 6$ and of general type for $g \geq 16$ . Furthermore, we consi…

math.AG2021

A Hurwitz divisor on the Moduli of Prym curves

Andrei Bud

For genus $g = 2 i \geq 4$ and the length $g - 1$ partition $μ = (4, 2, \dots, 2, - 2, \dots, - 2)$ of 0, we compute the first coefficients of the class of $D (μ)$ in $\mathrm{Pic}_\ma…

math.AG2020★ 1 cited

Maximal gonality on strata of differentials and uniruledness of strata in low genus

Andrei Bud

We prove that for a generic element in a nonhyperelliptic component of an abelian stratum $H_{g} (μ)$ in genus $g$ , the underlying curve has maximal gonality. We extend this…

math.AG2020

Moduli of Differentials and Teichmüller Dynamics

Andrei Bud, Dawei Chen

An increasingly important area of interest for mathematicians is the study of Abelian differentials. This growing interest can be attributed to the interdisciplinary role this subj…

math.AG2020★ 2 cited

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

Andrei Bud

We compute the dimension of the image of the forgetful map from $Z$ to the moduli space of curves, where $Z$ is a connected component of the stratum of $k$ -differentials with an as…

Spin volumes of minimal strata and Chiodo integrals

Prym-Brill-Noether theory for ramified double covers

The Kodaira dimension of even spin strata of Abelian differentials

The class of the Prym-Brill-Noether divisor

Maximal Brill-Noether loci via degenerations and double covers

Brill-Noether loci and strata of differentials

Prym enumerative geometry and a Hurwitz divisor in R2i​

Irreducibility of a universal Prym-Brill-Noether locus

The birational geometry of Rg,2​ and Prym-canonical divisorial strata

A Hurwitz divisor on the Moduli of Prym curves

Maximal gonality on strata of differentials and uniruledness of strata in low genus

Moduli of Differentials and Teichmüller Dynamics

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

Prym enumerative geometry and a Hurwitz divisor in $R_{2 i}$

The birational geometry of $R_{g, 2}$ and Prym-canonical divisorial strata