SL空间上的变分公式（2）Hitchin谱覆盖
Variational formulas on spaces of SL(2) Hitchin's spectral covers
摘要：
利用二次微分模空间上的变形理论，我们导出了与广义$SL(2)$ Hitchin谱覆盖有关的对象的变分公式：Prym矩阵，Prym双微分，Hodge和Prym τ-函数。所得公式是Donagi-Markman剩余公式的反对称形式。Prym矩阵的第二种变化是对先前针对$GL(n)$频谱覆盖的周期矩阵导出的表达式的自然类比。
英文摘要：
Using the developed deformation theory on moduli spaces of quadratic differentials we derive variational formulas for objects associated with generalized $SL(2)$ Hitchin's spectral covers: Prym matrix, Prym bidifferential, Hodge and Prym tau-functions. The resulting formulas are antisymmetric versions of Donagi-Markman residue formula. The second variation of the Prym matrix is a natural analogy to the expression previously derived for the period matrix of the $GL(n)$ spectral cover.
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