Automorphisms in Birational and Affine Geometry
Automorphisms in Birational and Affine Geometry
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双有理几何和仿射几何中的自同构
DOI：
10.1007/978-3-319-05681-4
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
M. Zaidenberg
中科院分区：
文献类型：
--
作者：
I. Cheltsov;C. Ciliberto;H. Flenner;J. McKernan;Yuri Prokhorov;M. Zaidenberg
代数曲线X的位形空间是由所有n点子集Q <$X组成的代数簇。我们描述的自同构，推导出（无限维）群是可解的，并获得一个模拟的Mostow分解在这个组。的李代数和Makar-Limanov不变量。我们得到类似的结果的水平超曲面的判别式，包括其奇异零水平。
The configuration spaceof an algebraic curveXis the algebraic variety consisting of alln-point subsetsQ⊂X. We describe the automorphisms of, deduce that the (infinite dimensional) groupis solvable, and obtain an analog of the Mostow decomposition in this group. The Lie algebra and the Makar-Limanov invariant ofare also computed. We obtain similar results for the level hypersurfaces of the discriminant, including its singular zero level.