Degeneration of moduli spaces and generalized theta functions

TL;DR

This paper proves a factorization theorem for generalized functions related to moduli spaces of semistable parabolic bundles of any rank, advancing understanding of their structure.

Contribution

It introduces a new factorization theorem for generalized functions on moduli spaces of semistable parabolic bundles of arbitrary rank.

Findings

Established a factorization theorem for generalized functions

Applied the theorem to moduli spaces of semistable parabolic bundles

Enhanced the theoretical framework for analyzing these moduli spaces

Abstract

We prove a factorization theorem of generalized functions for moduli spaces of semistable parabolic bundles of any rank.