On the Rationality of moduli spaces of vector bundles over chain-like curves

Abstract

Let $C$ be a chain-like curve over $\mathbb{C}$. In this paper, we investigate the rationality of moduli spaces of $w$-semistable vector bundles on $C$ of arbitrary rank and fixed determinant by putting some restrictions on the Euler characteristics.

21 pages; final version; to appear in J. Geom. Phys