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for questions about etale cohomology of schemes, including foundational material and applications.

1 vote
1 answer
191 views

Lifts of smooth algebras

Let $(R, I)$ be a Henselian pair, with $I$ a finitely generated ideal. We know that for any smooth $R/I$-algebra $A_0$, there exists a smooth $R$-algebra $A$ such that $A/I\simeq A_0$. We also know …
1 vote
1 answer
137 views

Equalizer of local analytic isomorphisms

Let $a,b : V\to W$ be two morphisms of smooth complex analytic spaces. Assume $a$ and $b$ are local analytic isomorphisms. Does the equalizer $U$ of $a,b$ exist as a smooth complex analytic sp …