Wildly Compatible Systems and Six Operations

Ning Guo

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arXiv · 1801.06065

Wildly Compatible Systems and Six Operations

Ning Guo

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Abstract

For a scheme $X$ separated and of finite type over an excellent regular scheme $S$, we define wildly compatible systems of constructible sheaves of modules over finite fields on $X$ for certain vector spaces $V$. The main result is that for $\dim S \leq 1$, wildly compatible systems are preserved by Grothendieck's six operations and Verdier's duality. Finally, for a smooth integral scheme $X$ over a finite field, we prove that all $\ell$-adic compatible systems gives wildly compatible systems.

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Ning Guo. 2018-01-18. Wildly Compatible Systems and Six Operations. https://arxiv.org/abs/1801.06065

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