Unirationality of the universal moduli space of semistable bundles over smooth curves

2024/02/01 by Shubham Saha, Saha, Shubham
Mathematics · #14H10 #14H60 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2402.01041

openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct explicit dominant, rational morphisms from projective bundles over rational varieties to relevant moduli spaces, showing their unirationality. These constructions work for U_r,d,g; for all ranks, degrees and genus 2≤ g ≤ 9. Furthermore, the arguments presented also show that a similar conclusion can be made for U_{r, L, g} for all r,d and unirational M_g

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