实代数gm流形上的代数循环及其应用

Vyacheslav A Krasnov
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引用次数: 8

摘要

对于实代数gm流形上的一个代数循环,研究了其同调类和同调类之间的关系。证明了gm曲面上的光滑循环也有类似的关系。利用所得结果证明了该集合的欧拉特征的同余性。
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ALGEBRAIC CYCLES ON A REAL ALGEBRAIC GM-MANIFOLD AND THEIR APPLICATIONS
For an algebraic cycle on a real algebraic GM-manifold , the relationship between the homology classes and is studied. It is shown that similar relations hold for smooth cycles on a GM-surface. The results are applied to prove congruences for the Euler characteristic of the set .
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