关于C^3/D_27和del Pezzo曲面的几何性质
On the geometry of C^3/D_27 and del Pezzo surfaces
摘要：
本文阐明了Verlinde和Wijnholt最近提出的基于膜对称标准模型的非紧复流形X = C3/D_27的解析几何的某些方面。我们明确地实现了X与1次拟del Pezzo曲面上的标准丛的全空间之间的映射，从而定义了X的去奇异化。我们的分析主要依赖于D_27的正规化子群与Hessian群之间的关系，以及对平面三次曲线的Hessian束在商下的性质的研究。
英文摘要：
We clarify some aspects of the geometry of a resolution of the orbifold X = C3/D_27, the noncompact complex manifold underlying the brane quiver standard model recently proposed by Verlinde and Wijnholt. We explicitly realize a map between X and the total space of the canonical bundle over a degree 1 quasi del Pezzo surface, thus defining a desingularization of X. Our analysis relys essentially on the relationship existing between the normalizer group of D_27 and the Hessian group and on the study of the behaviour of the Hesse pencil of plane cubic curves under the quotient.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
