Kestutis Cesnavicius

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Name Kestutis Cesnavicius
Member for 3 years
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Location MIT
Age
May
9
revised Etale Cohomology of Punctured Spectra of Local Rings
added 8 characters in body
May
9
revised Etale Cohomology of Punctured Spectra of Local Rings
added 66 characters in body; added 7 characters in body
May
9
revised Etale Cohomology of Punctured Spectra of Local Rings
deleted 2 characters in body
May
9
answered Etale Cohomology of Punctured Spectra of Local Rings
May
3
accepted a question of Galois cohomology
May
3
revised a question of Galois cohomology
added 106 characters in body
May
3
comment a question of Galois cohomology
A more informative title wouldn't hurt, I think.
May
3
answered a question of Galois cohomology
Apr
24
accepted ramification of discrete valuation field
Apr
24
comment ramification of discrete valuation field
Yes, it can. See Serre "Proprietes galoissienes..." Prop. 7 in section 1.8.
Apr
24
answered ramification of discrete valuation field
Apr
23
comment When are Abelian schemes projective?
When the base in integral and geom. unibranch, abelian schemes are projective; see Raynaud "Faisceaux amples..." XI.1.4.
Apr
20
awarded  Yearling
Feb
21
comment Is there excision for fppf cohomology?
Thanks for your comment! As you explain, in the Noetherian case one can replace $X^{\prime}$ by an open $V \subset X^{\prime}$ containing $Z^{\prime}$ and replace $X$ by its image $U = f(V)$ to reduce to the case where $f$ is etale. In this case, for the purpose of showing that the two pull-backs of $\gamma^{\prime}$ to $X^{\prime} \times_X X^{\prime}$ agree, one can restrict the attention to the small etale site, which is the case treated in Milne.
Feb
21
asked Is there excision for fppf cohomology?
Feb
4
comment purity for finite flat group schemes
You may find the Appendix of Gille, Pianzola "Isotriviality and etale cohomology of Laurent polynomial rings" relevant (though I don't think it addresses your question precisely).
Jan
27
comment Flat cohomology for finite infinitesimal group scheme over a perfect field
What precisely do you want to know about it?
Jan
10
awarded  Nice Answer
Dec
5
comment restriction and pullback of representable etale sheaf along closed immersion
Are you working with small or big etale sites? Your 1. (1) only makes sense to me in the big etale site, in which case the agreement that you want results from the definition of $i^*G$.