论文标题
关于德林菲尔德的猜想
On a Conjecture of Drinfeld
论文作者
论文摘要
令$ c $是平滑的不可约的投影曲线，$ g \ ge 2 $。令$ \ MATHCAL {M} _C（n，δ）$为稳定矢量捆绑包的模量$ n $ $ n $和固定的degriant $δ$ $ d $。然后已知摇摆束的轨迹以$ \ MATHCAL {M} _C（N，δ）$关闭。德林菲尔德（Drinfeld）猜想，摇摆的基因座是纯粹的二含量，即，它们以$ \ mathcal {m} _c（n，δ）$形成一个除数。在本文中，我们将证明猜想。
Let $C$ be smooth irreducible projective curve of genus $g \ge 2$. Let $\mathcal{M}_C(n, δ)$ be moduli space of stable vector bundles on $C$ of rank $n$ and fixed determinant $δ$ of degree $d$. Then the locus of wobbly bundles are known to be closed in $\mathcal{M}_C(n, δ)$. Drinfeld has conjectured that the wobbly locus is pure of co-dimension one, i.e., they form a divisor in $\mathcal{M}_C(n, δ)$. In this article, we will give a prove of the conjecture.
