Motivated by the study of the differential and symplectic topology of (Z/2)2-Galois covers of P1 x P1, we determine the local braid monodromy of natural deformations of smooth (Z/2)2-^sGalois covers of surfaces at the points where the branch curve has a nodal singularity. The study of the local deformed branch curves is solved via some interesting geometry of projectively unique objects: plane quartics with 3 cusps, which are the plane sections of the quartic surface having the twisted cubic as a cuspidal curve.
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机译:通过研究P1 X P1的差分和辛拓扑的研究(Z / 2)2-伽罗尼帽盖的研究,我们确定了局部辫子单谜的光滑(Z / 2)2- ^ SGALOIS覆盖的分支曲线具有节点奇异性的点。局部变形分支曲线的研究通过突出的唯一物体的一些有趣的几何形状来解决:具有3个尖瓣的平面四分之一,这是具有扭曲立方体作为囊曲线的四静脉表面的平面部分。
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