On Abel-Jacobi maps of moduli of parabolic bundles over a curve

Abstract

The Abel-Jacobi maps generalize the usual Jacobi map for curves to the case of nonsingular complex projective varieties. Here, we study certain Abel-Jacobi maps on the moduli space of parabolic stable bundles of fixed rank, determinant and generic weight over a nonsingular complex projective curve. We prove that the maps are split surjections.

Keywords:

• Chow groups
• moduli space
• parabolic bundle

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 14C15
• 14D20
• 14D22
• 14H60