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Zhaoting Wei's user avatar
Zhaoting Wei's user avatar
Zhaoting Wei
  • Member for 12 years, 5 months
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Is any element in $H^2_{et}(X,\mathcal{O}_X^*)$ locally trivial in the Zariski topology?
@R.vanDobbendeBruyn I roughly got your point but could you provide some more details? For example is it obvious that there always exists an element in $H^2_{et}(X,\mathcal{O}_X^*)$ which maps to a non-zero element in $H^2_{et}(\text{spec}K(X),\mathbb{G}_m)$? I'm sorry I'm not very familiar with this area.
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Is any element in $H^2_{et}(X,\mathcal{O}_X^*)$ locally trivial in the Zariski topology?
add the condition of algebraically closed on the base field $k$.
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Is any element in $H^2_{et}(X,\mathcal{O}_X^*)$ locally trivial in the Zariski topology?
@DonuArapura That makes sense. But what if we assume $k$ is algebraically closed?
asked
Is any element in $H^2_{et}(X,\mathcal{O}_X^*)$ locally trivial in the Zariski topology?
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Is the hom in derived category of a dg-algebra compatible with base field extension?
awarded
 Yearling
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Could we extend the star product on a Poisson manifold from its ring of smooth functions to its de Rham complex?
edited tags
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Could we extend the star product on a Poisson manifold from its ring of smooth functions to its de Rham complex?
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Could we prove the flat base change theorem for cohomology via injective resolution?
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Could we construct an inverse transform for the equivalence $D^b(X)\to D^b(M)$ between a K3 surface and its moduli space of semistable sheaves?
@AntonFetisov I see, it's so obvious.
asked
Could we construct an inverse transform for the equivalence $D^b(X)\to D^b(M)$ between a K3 surface and its moduli space of semistable sheaves?
answered
homotopy limits of dg categories
accepted
Why do we need cofiltered condition on the index category in the definition of pro-categories?
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Why do we need cofiltered condition on the index category in the definition of pro-categories?
awarded
 Popular Question
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Where to find the proof that these two version of simplicial homotopy are equivalent?
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Where to find the proof that these two version of simplicial homotopy are equivalent?
title changed
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Where to find the proof that these two version of simplicial homotopy are equivalent?
@DenisNardin Yes I have modified the title.
asked
Where to find the proof that these two version of simplicial homotopy are equivalent?
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Do chain homotopic maps between dg-algebras induce "same" maps on dg-modules
@მამუკაჯიბლაძე Could you explain a little bit more about how to get an isomorphism under your version of homotopy?
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