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Specific Example of a Morphism of Schemes for which the Push-Pull Morphism is not an Isomorphism

Consider a Cartesian diagram of schemes as follows: $\require{AMScd} \begin{CD} X \times_Z Y @>{\tilde{\pi}}>> Y\\ @VV{\tilde{\phi}}V @VV{\phi}V\\ X @>{\pi}>> Z \end{CD}$ From the ...
Tom Gannon's user avatar
3 votes
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389 views

Status of motives in higher category theory: motives and algebraic cycles through a higher categorical perspective

A while ago this interesting question was asked Derived Algebraic Geometry and Chow Rings/Chow Motives. Primary question: Have there been any recent developments/advances on the above question? If not,...
Luqman Waheeduddin's user avatar
2 votes
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482 views

About derived divided power envelope

Assume $A$ is a $\mathbb{Z}_{(p)}$-algebra with ideal $I$ and $A,A/I$ are $p$-torsionfree. In this survey, Akhil Mathew defines the derived divided power envelope $LD_I(A)$ in Construction 7.15, after ...
Yang Chen's user avatar
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