Moduli Space of Parabolic Bundles on P 1 and Frobenius Splitting

Algebra Colloquium 2026

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Authors: Yanglong Zhang
DOI: 10.1142/s1005386726000052
Cited by: 0

Abstract

Let [Formula: see text] be a finite set of [Formula: see text] over an algebraically closed field [Formula: see text] of [Formula: see text], and [Formula: see text] be the moduli space of semistable parabolic bundles of rank two and degree [Formula: see text] on [Formula: see text] with parabolic structures determined by weights [Formula: see text]. We prove that [Formula: see text] is F-split when [Formula: see text], which partly answers a conjecture of Mehta and Ramadas for the genus zero case.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Algebraic structures and combinatorial models

Publication details

Journal / source
Algebra Colloquium
Volume
33
Issue
01
Pages
23–28
Publication date
27 February 2026
Language
EN