对数1-基元的单配对

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2019-12-09 DOI:10.2140/tunis.2022.4.587
Jonathan Wise
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引用次数: 0

摘要

我们描述了对所有具有恒定退化的对数阿贝尔品种的三步过滤。作为从对数几何到代数几何的一个杂色扩展,这种过滤的下降障碍被编码在基的特征半群中的双线性配对中。该配对在p-adic、l-adic和Betti上同调中被实现为单调配对,并在Jacobians的情况下恢复了Picard-Lefschetz变换。过滤的Hodge实现是在极限混合Hodge结构上的单重过滤。
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The monodromy pairing for logarithmic 1-motifs
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The obstruction to descending this filtration, as a variegated extension, from logarithmic geometry to algebraic geometry is encoded in a bilinear pairing valued in the characteristic monoid of the base. This pairing is realized as the monodromy pairing in p-adic, l-adic, and Betti cohomolgies, and recovers the Picard-Lefschetz transformation in the case of Jacobians. The Hodge realization of the filtration is the monodromy weight filtration on the limit mixed Hodge structure.
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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
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