摘要翻译:
光滑射影变体的线性投影提供了一种获得原始变体双形超曲面的方法。我们证明了在低维情况下,所得到的超曲面只有Du Bois奇点。此外,我们还得出这些Du Bois奇点实际上是半对数正则的结论。然而,我们证明了在高维下反例的存在--维数为30或更高的某些变体的一般线性投影既不是半对数正则的,也不是Du Bois的。
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英文标题:
《Singularities of generic projection hypersurfaces》
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作者:
Davis C. Doherty
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最新提交年份:
2007
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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:
Linearly projecting smooth projective varieties provides a method of obtaining hypersurfaces birational to the original varieties. We show that in low dimension, the resulting hypersurfaces only have Du Bois singularities. Moreover, we conclude that these Du Bois singularities are in fact semi log canonical. However, we demonstrate the existence of counterexamples in high dimension -- the generic linear projection of certain varieties of dimension 30 or higher is neither semi log canonical nor Du Bois.
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PDF链接:
https://arxiv.org/pdf/0705.4481