论文标题

混合特征情况下的cotangent束和微支持

Cotangent bundle and micro-supports in mixed characteristic case

论文作者

Saito, Takeshi

论文摘要

对于常规方案和Prime Number $ P $,我们将FW-Cotangent Bundle定义为在一定有限条件下定义为$ P = 0 $的封闭亚cheme的向量捆绑包。对于该方案的etale位点上的可构造络合物,我们将其引入了在FW-Cotangent束中的封闭锥形子集上进行微支撑的条件。在本文结尾处,我们在某些情况下计算了单数支持。

For a regular scheme and a prime number $p$, we define the FW-cotangent bundle as a vector bundle on the closed subscheme defined by $p=0$, under a certain finiteness condition. For a constructible complex on the etale site of the scheme, we introduce the condition to be micro-supported on a closed conical subset in the FW-cotangent bundle. At the end of the article, we compute the singular supports in some cases.

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