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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
4
votes
1
answer
395
views
In which category does Illusies derived deRham complex live?
In "Complexe cotangent et déformations II", Illusie introduces the derived deRham complex as the pro-completion of the total complex associated to the double complex
$$\Omega_{P_j^A(B)/A}^i$$
where $ …
3
votes
0
answers
151
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Derived base change of (nice) topological spaces
Let $f:X\to Y$ be a morphism of (nice) topological spaces. consider the basechange along $g:Y'\to Y$. We write $F:X'\to Y'$ and $G:X'\to X$.
Consider some class of sheaves on those spaces, e.g. abeli …