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Del Pezzo surfaces as Springer fibres for exceptional groups
Proceedings of the London Mathematical Society ( IF 1.5 ) Pub Date : 2019-09-10 , DOI: 10.1112/plms.12290
Ian Grojnowski 1 , Nicholas Shepherd‐Barron 2
Affiliation  

We show that simultaneous log resolutions of simply elliptic singularities can be constructed inside suitable stacks of principal bundles over elliptic curves. In particular, we give a direct geometrical construction of del Pezzo surfaces from the corresponding exceptional simple algebraic groups.

中文翻译:

Del Pezzo表面作为施普林格纤维,适用于特殊群体

我们表明,可以在椭圆曲线上的主束的适当堆栈内构造简单椭圆奇异点的同时对数分辨率。特别是,我们从相应的特殊简单代数组中给出了德尔佩佐曲面的直接几何构造。
更新日期:2019-09-10
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