论文标题

Tamagawa号码的猜想是$ p $ -ADIC统一家族$ f $ -crystals

Tamagawa number conjecture for a $p$-adic family of uniform $F$-crystals

论文作者

Nguyen, Tung T.

论文摘要

K. Kato最近构建了与均匀的$ f $ -crystal相关的某些平滑项目$ x $ $ x $的构造综合体,并将其共同体组与附加到$ f $的$ l $ fulction的特殊值相关联。在本文中,我们将他的结果推广到$ f $ -crystals的$ p $ - 亚法家族。

K. Kato has recently constructed certain syntomic complexes associated with a uniform $F$-crystal over a smooth project variety $X$ and related their cohomology groups to special values of the $L$-function attached to $F$. In this paper, we generalize his results to a $p$-adic family of $F$-crystals.

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