锥丛的稳定性（附Mundet i Riera的附录）
Stability of conic bundles (with an appendix by Mundet i Riera)
摘要：
粗略地说，圆锥丛是一个曲面，在一条曲线上纤维化，使得纤维是圆锥（不一定是光滑的）。定义了锥丛的稳定性，并构造了一个模空间。我们证明（在固定一些不变量后）这些模空间是不可约的（在某些条件下）。锥丛可以被认为是曲线上正交丛的推广。我们表明，在这种特殊情况下，我们的定义的稳定性与正交丛的稳定性的定义。最后，在附录中，我。Mundet i Riera，一个Hitchin-Kobayashi对应被陈述为圆锥丛。
英文摘要：
Roughly speaking, a conic bundle is a surface, fibered over a curve, such that the fibers are conics (not necessarily smooth). We define stability for conic bundles and construct a moduli space. We prove that (after fixing some invariants) these moduli spaces are irreducible (under some conditions). Conic bundles can be thought of as generalizations of orthogonal bundles on curves. We show that in this particular case our definition of stability agrees with the definition of stability for orthogonal bundles. Finally, in an appendix by I. Mundet i Riera, a Hitchin-Kobayashi correspondence is stated for conic bundles.
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