ALGEBRAIC HOMOLOGY CLASSES ON ALGEBRAIC VARIETIES
ALGEBRAIC HOMOLOGY CLASSES ON ALGEBRAIC VARIETIES
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DOI：
10.1070/im1967v001n02abeh000554
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发表时间：
1967-04
期刊：
影响因子：
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通讯作者：
B. G. Moĭšezon
中科院分区：
文献类型：
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作者：
B. G. Moĭšezon
本文研究了保护代数簇上的代数同调类与其“一般”超平面截面上的代数同调类之间的关系。特别证明了，在代数簇V的一个“一般”部分上，通过一个足够高次的超曲面，任何代数同调类，具有一定的多重性，都可以被代数簇V的某些代数同调类切割。
In this paper, the relation between the algebraic homology classes on a protective algebraic variety and on its 'general' hyperplane section is studied. It is proved in particular that on a 'general' section of an algebraic variety V by a hypersurface of sufficiently high degree, any algebraic homology class, taken with some multiplicity, is cut by some algebraic homology class of the variety V.