Duc-Manh Nguyen

activity

20102026

most citedWeierstrass Prym eigenforms in genus four

14 citations · 98 across the 25 of their papers we have counts for

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5 papers · 1 filter

math.AG2026

Hilbert surfaces, modular forms, and Siegel-Veech constants

Duc-Manh Nguyen

We give the values of the Siegel-Veech constants associated with saddle connections having distinct endpoints on translation surfaces in Prym eigenform loci in $Ω\mathcal{M}_3(2,2)…

math.AG2023★ 1 cited

Intersection theory and volumes of moduli spaces of flat metrics on the sphere (with an appendix by Vincent Koziarz and Duc-Manh Nguyen)

Duc-Manh Nguyen

Let $P Ω^{d} M_{0, n} (κ)$ , where $κ = (k_{1}, \dots, k_{n})$ , be a stratum of (projectivized) $d$ -differentials in genus $0$ . We prove a recursive formula which relates the v…

math.AG2022

On the volumes of linear subvarieties in moduli spaces of projectivized Abelian differentials

Duc-Manh Nguyen

For $k \in Z_{> 0}$ , let $H_{g, n}^{(k)}$ denote the vector bundle over $M_{g, n}$ whose every fiber consists of meromorphic $k$ -differentials with poles…

math.AG2021

The Incidence Variety Compactification of strata of d-differentials in genus 0

Duc-Manh Nguyen

Given $d \in Z_{\geq 2}$ , for every $κ = (k_{1}, \dots, k_{n}) \in Z^{n}$ such that $k_{i} \geq 1 - d$ and $k_{1} + \dots + k_{n} = - 2 d$ , denote by $Ω^{d} M_{0, n} (κ)$ and $\mathbb…

math.AG2016

Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of genus zero curves

Vincent Koziarz, Duc-Manh Nguyen

We show that the complex hyperbolic metrics defined by Deligne-Mostow and Thurston on $M_{0, n}$ are singular Kähler-Einstein metrics when $M_{0, n}$ is embed…