UvA-DARE ( Digital Academic Repository ) Cycle relations on Jacobian varieties . With an appendix by Don Zagier
UvA-DARE ( Digital Academic Repository ) Cycle relations on Jacobian varieties . With an appendix by Don Zagier
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UvA-DARE（数字学术知识库）雅可比簇上的循环关系。
DOI：
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发表时间：
2007
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通讯作者：
A. Kouvidakis
中科院分区：
文献类型：
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作者：
A. Kouvidakis
利用Grothendieck-Riemann-Roch定理，我们导出了曲线雅可比行列式中的循环关系模代数等价。这些关系推广了科隆博和货车Geemen发现的关系，并且与Herbaut最近发现的关系类似，但比它们简单。在Zagier的附录中，证明了这些关系是等价的。
By using the Grothendieck–Riemann–Roch theorem we derive cycle relations modulo algebraic equivalence in the Jacobian of a curve. The relations generalize the relations found by Colombo and van Geemen and are analogous to but simpler than the relations recently found by Herbaut. In an appendix by Zagier, it is shown that these sets of relations are equivalent.