Let $X$ be a compact Riemann surface of genus $g \geq 2$, and let $D \subset X$ be a fixed finite subset. Let $\mathcal{M}(r,d,\alpha)$ denote the moduli space of stable parabolic $G$-bundles (where $G$ is an complex orthogonal or symplectic group) of rank $r$, degree $d$ and weight type $\alpha$ over $X$. Hitchin discovered that the cotangent bundle of the moduli space of stable bundles on an algebraic curve is an algebraically completely integrable system fibered, over a space of invariant polynomials, either by a Jacobian or a Prym variety of spectral curves. In this paper we study the Hitchin fibers for $\mathcal{M}(r,d,\alpha)$.

中文翻译：

---

辛和正交抛物面希格斯丛模数的希钦纤维化

令$X$ 为属$g \geq 2$ 的紧黎曼曲面，令$D \subset X$ 为固定有限子集。令 $\mathcal{M}(r,d,\alpha)$ 表示阶 $r$、度数 $d 的稳定抛物线 $G$-bundles（其中 $G$ 是复数正交或辛群）的模空间$ 和 $X$ 上的权重类型 $\alpha$。Hitchin 发现代数曲线上稳定丛的模空间的余切丛是一个代数完全可积系统，在不变多项式空间上通过雅可比或普里姆变体谱曲线纤维化。在本文中，我们研究了 $\mathcal{M}(r,d,\alpha)$ 的 Hitchin 纤维。