摘要翻译：
参考版本将出现在密歇根数学杂志上。前一版本最后一节中的一个错误已被更正。新标题准确地描述了所取得的主要结果。在三次曲面几何和Dolgachev定理的基础上，证明了本文所述模空间R的合理性。设M是平面上6个点的模空间，是三次曲面上由双六构型引起的自然对合的模。证明了R是以M为结尾的局部平凡射影丛的一个塔的双生的，从而证明了R的合理性是由Dolgachev定理得出的：M是有理的。
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英文标题：
《The rationality of the moduli space of genus four curves endowed with an
  order three subgroup of their Jacobian》
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作者：
Ingrid Bauer, Alessandro Verra
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  Refereed version to appear in Michigan Mathematical Journal. A mistake in the last section of the previous version has been corrected. The new title exactly describes the main result obtained. Building on the geometry of cubic surfaces and on a theorem of Dolgachev, the rationality of the moduli space R mentioned in the title is proved. Let M be the moduli space of 6 points in the plane, modulo the natural involution induced by double-six configurations on cubic surfaces. It is proved that R is birational to a tower of locally trivial projective bundles ending onto M. The rationality of R then follows from Dolgachev's theorem that M is rational.
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PDF链接：
https://arxiv.org/pdf/0808.1318