On the Fundamental Group of a Unirational Variety

On the Fundamental Group of a Unirational Variety
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论无理簇的基本群

DOI:
10.1112/jlms/s1-34.4.481
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发表时间:
1959
影响因子:
1.2
通讯作者:
J. Serre
J. Serre
中科院分区:
数学2区
文献类型:
--
作者:
J. Serre

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没有一个已知的数值不变量(不规则性、多变性等)能够区分有理变体和无理变体。有人可能会问,基本派在这方面表现是否更好?因为我们知道有理变体是单连通的,这意味着:是否存在一个非有理变体 V 且
None of the known numerical invariants (irregularities, plurigenera, and the like) are capable of distinguishing between rational varieties and unirational ones. One may ask whether the fundamental group behaves better in this respect; since we know that rational varieties are simply connected, this means: does there exist a unirational variety V with