摘要翻译：
给出了非约化仿射代数群H的复射影簇X上的一个适当作用，讨论了如何选择含H的约化群G和GX_HX的一个射影完备，这是Math.AG/0703131意义上的约化包络。特别研究了加权射影平面P(1,1,2）上超曲面的模空间在P(1,1,2）的（非约简）自同构群的线性作用下作为商得到的例子族。
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英文标题：
《Quotients by non-reductive algebraic group actions》
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作者：
Frances Kirwan
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最新提交年份：
2008
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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：
  Given a suitable action on a complex projective variety X of a non-reductive affine algebraic group H, this paper considers how to choose a reductive group G containing H and a projective completion of G x_H X which is a reductive envelope in the sense of math.AG/0703131. In particular it studies the family of examples given by moduli spaces of hypersurfaces in the weighted projective plane P(1,1,2) obtained as quotients by linear actions of the (non-reductive) automorphism group of P(1,1,2).
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PDF链接：
https://arxiv.org/pdf/0801.4607