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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 $ …
Rene Recktenwald's user avatar
3 votes
0 answers
151 views

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 …
Rene Recktenwald's user avatar