摘要翻译:
研究了伪指数大于1和维数大于5的Fano流形,它们是光滑变体沿维数等于伪指数的光滑中心的爆破。我们得到了这类流形的可能曲线锥的分类,并证明了只有一个这样的流形没有纤维型初等收缩。
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英文标题:
《Fano manifolds and blow-ups of low-dimensional subvarieties》
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作者:
Elena Chierici and Gianluca Occhetta
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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:
We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.
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PDF链接:
https://arxiv.org/pdf/0709.3200